to have a good time ( = a time of enjoyment) was common in Eng. from c 1520 to c 1688; it was app. retained in America, whence readopted in Britain in 19th c. [OED]
Time of day (now mainly preserved in negation, i.e. what someone won't give you if he doesn't like you) was a popular 17c. salutation (e.g. "Good time of day vnto your Royall Grace," "Richard III," I.iii.18). Times as the name of a newspaper dates from 1788. Time warp first attested 1954; time capsule first recorded 1938, in reference to New York World's Fair; time-traveling in the science fiction sense first recorded 1895 in H.G. Wells' "The Time Machine." To do time "serve a prison sentence" is from 1865. Time frame is attested by 1964; time line (also timeline) by 1890; time-limit is from 1880. About time, ironically for "long past due time," is recorded from 1920. Behind the times "old-fashioned" is recorded from 1846, first attested in Dickens.
Previous to 1883 the methods of measuring time in the United States were so varied and so numerous as to be ludicrous. There were 50 different standards used in the United States, and on one road between New York and Boston, whose actual difference is 12 minutes, there were three distinct standards of time. Even small towns had two different standards one known as "town" or local time and the other "railroad" time.
... At noon on November 18, 1883, there was a general resetting of watches and clocks all over the United States and Canada, and the four great time zones, one hour apart, into which the country was divided came into being. So smoothly did the plan work that the general readjustment was accomplished without great difficulty and it has worked satisfactorily ever since. ["Railroad Trainman," 1909]