Etymology
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Words related to creep

creeping (adj.)

late 14c., in reference to disease, "slowly spreading," present-participle adjective from creep (v.). Also from late 14c. in reference to plants, "growing along the surface."

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creepage (n.)

"rate or amount that something creeps," 1881, from creep (v.) + -age.

creeper (n.)

Old English creopera "one who creeps," creopere "a cripple," agent nouns from  creep (v.). Also see creep (n.). Meaning "lice" is from 1570s; of certain birds which scramble in trees and bushes from 1660s; of certain plants which grow upon the surface, sending out rootlets from the stem, from 1620s.

creepy (adj.)

1794, "characterized by creeping," from creep + -y (2). Meaning "having a creeping feeling in the flesh" is from 1831; that of producing such a feeling, the main modern sense, is from 1858. Creepy-crawly (n.) "a crawling insect or animal" is from 1858.

crept 
past tense and past participle of creep (v.).
grovel (v.)
1590s, Shakespearean back-formation from groveling "on the face, prostrate" (mid-14c.), also used in Middle English as an adjective but probably really an adverb, from gruffe, from Old Norse grufe "prone" + obsolete adverbial suffix -ling (which survives also as the -long in headlong, sidelong). The Old Norse word is found in liggja à grufu "lie face-down," literally "lie on proneness." Old Norse also had grufla "to grovel," grufa "to grovel, cower, crouch down." The whole group is perhaps related to creep (v.). Related: Groveled; grovelled; groveling; grovelling.