No Time Travel. Move along.
“The Other Wife” by Jack Finney, The Saturday Evening Post, 30 Jan 1960 [alternate timelines ]
“The Coin Collector”
Tales of Magic #6: The Well-Wishers by Edward Eager, Mar 1960 [no time travel ]
“Chronopolis” by J.G. Ballard, New Worlds , Jun 1960 [despite title, no time travel ]
“Trouble with Time” by Arthur C. Clarke, Ellery Queen’s Mystery Magazine, Jul 1960 [despite title, no time travel ]