Etymology
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Words related to saw

say (v.)
Old English secgan "to utter, inform, speak, tell, relate," from Proto-Germanic *sagjanan (source also of Old Saxon seggian, Old Norse segja, Danish sige, Old Frisian sedsa, Middle Dutch segghen, Dutch zeggen, Old High German sagen, German sagen "to say"), from PIE *sokwyo-, from root *sekw- (3) "to say, utter" (source also of Hittite shakiya- "to declare," Lithuanian sakyti "to say," Old Church Slavonic sociti "to vindicate, show," Old Irish insce "speech," Old Latin inseque "to tell say").

Past tense said developed from Old English segde. Not attested in use with inanimate objects (clocks, signs, etc.) as subjects before 1930. You said it "you're right" first recorded 1919; you can say that again as a phrase expressing agreement is recorded from 1942, American English. You don't say (so) as an expression of astonishment (often ironic) is first recorded 1779, American English.
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*sek- 

Proto-Indo-European root meaning "to cut." It forms all or part of: bisect; dissect; hacksaw; insect; intersect; resect; saw (n.1) "cutting tool;" Saxon; scythe; secant; secateurs; sect; section; sector; sedge; segment; skin; skinflint; skinny; transect.

It is the hypothetical source of/evidence for its existence is provided by: Hittite shakk- "to know, pay attention to;" Latin secare "to cut," sectio "a cutting, cutting off, division;" Old Church Slavonic seko, sešti "to cut," sečivo "ax, hatchet," Russian seč' "to cut to pieces;" Lithuanian įsėkti "to engrave, carve;" Albanian šate "mattock;" Old Saxon segasna, Old English sigðe "scythe;" Old English secg "sword," seax "knife, short sword;" Old Irish doescim "I cut."

draw (v.)

"give motion to by the act of pulling," c. 1200, drauen, spelling alteration of Old English dragan "to drag, to draw, protract" (class VI strong verb; past tense drog, past participle dragen), from Proto-Germanic *draganan "to draw, pull" (source also of Old Norse draga "to draw, drag, pull," Old Saxon dragan "to carry," Old Frisian drega, draga, Middle Dutch draghen "to carry, bring, throw," Old High German tragan "carry, bring, lead," German tragen "to carry, bear"), from PIE root *dhregh- (see drag (v.)).

Sense of "make a line or figure" (by "drawing" a pencil across paper) is from c. 1200. Meaning "remove or extract (a weapon) by pulling" is from late 12c., originally of a sword. Sense of "to pull (a bowstring)" is from c. 1200. To draw a criminal (drag him at the tail of a horse to the place of execution) is from c. 1300.

Meaning "select one (from a number of lots, etc.)" is from c. 1300. Sense of "bring (a crowd, an audience, etc.) by inducement or attraction" is from 1580s. Of a ship or boat, "to displace (a specified amount) of water," 1550s. In card-playing, "to take or receive (a card)," by 1772; draw-poker is by 1850. To draw out "lengthen, protract" is from 1550s; to draw the line in the figurative sense of "make a limit" is by 1793. To draw blood is from c. 1400.

The difference between [Draw Poker] and Poker is, that the player can draw from the pack as many cards as he may wish,—not exceeding five,—which must be given him by the dealer; but previous to drawing he must take from his original hand the game number as he may wish to draw, and lay them in the centre of the table. ["Bohn's New Hand-Book of Games," Philadelphia, 1850]
see (v.)

Old English seon "to see, look, behold; observe, perceive, understand; experience, visit, inspect" (contracted class V strong verb; past tense seah, past participle sewen), from Proto-Germanic *sehwanan (source also of Old Saxon, Old High German sehan, Middle High German, German sehen, Old Frisian sia, Middle Dutch sien, Old Norse sja, Gothic saihwan), from PIE root *sekw- (2) "to see," which is probably identical with *sekw- (1) "to follow" (see sequel), a root which produced words for "say" in Greek and Latin, and also words for "follow" (such as Latin sequor), but "opinions differ in regard to the semantic starting-point and sequences" [Buck]. Thus see might originally mean "follow with the eyes."

Used in Middle English to mean "behold in the imagination or in a dream" (c. 1200), "to recognize the force of (a demonstration)," also c. 1200. Sense of "escort" (as in to see (someone) home) first recorded 1607 in Shakespeare. Meaning "to receive as a visitor" is attested from c. 1500. Gambling sense of "equal a bet" is from 1590s. See you as a casual farewell first attested 1891. Let me see as a pausing statement is recorded from 1510s.

saga (n.)

1709, "ancient Scandinavian legend of considerable length," an antiquarians' revival to describe the medieval prose narratives of Iceland and Norway, from Old Norse saga "saga, story," cognate with Old English sagu "a saying" (see saw (n.2)).

Properly a long narrative composition of Iceland or Norway in the Middle Ages featuring heroic adventure and fantastic journeys, or one that has their characteristics. The extended meaning "long, convoluted story" is by 1857.

sawbones (n.)
"surgeon," 1837, slang, from verbal phrase; see saw (v.) + bone (n.).
sawn 
strong past participle of saw (v.), attested from c. 1400.
sawyer (n.)
mid-13c. "one whose occupation is sawing timber into planks, boards, etc." (as a surname from c. 1200), alteration of sawer, agent noun from saw (v.), influenced by French-derived words in -ier (such as lawyer, bowyer, clothier).
band-saw (n.)
also bandsaw, "endless band of steel with a serrated edge," 1847, from band (n.1) + saw (n.1). Said to have been invented 1809 by William Newberry of London.
buzz-saw (n.)
"circular saw," 1849, American English, from buzz (v.) + saw (n.). So called from the sound it makes when in operation.