1630s; Old English had gecrympan "to crimp, curl," but the modern word probably is from Middle Dutch or Low German crimpen/krimpen "to shrink, crimp." Related: Crimped; crimping.
1863, from crimp (v.). Originally "natural curl in wool fiber." To put a crimp in (something) is 1896, U.S. slang.
A restriction; obstacle: He kept putting crimps into my plan
: I'll crimp him good with this nasty new rule (1896+)