Green’s Dictionary of Slang

lime v.

[? limey n. (1), i.e. the groups of US sailors who frequented the Trinidad red-light areas during WWII. Also US teen use in the 1990s; note late 19C Fr. sl. limer, ‘To take time in the act of kind’]

(orig. W.I.) to sit around and relax with friends or family; thus liming, hanging around, chatting.

[WI]S. Selvon Lonely Londoners 67: He would be standing up there, hoping that one night Beatrice might come to lime by the club.
[WI]S. Selvon Ways of Sunlight 134: Catch-as-Catch-Can [...] used to lime out regularly at all the dances it have in Barbados.
[WI]R. Abrahams Man-of-Words in the West Indies 133: It is here that the men sit around liming and blagging.
[UK]J. Cameron Brown Bread in Wengen [ebook] There I was going all right to everyone, all right John, all right Maise, all right Asif [...] everyone liming.
Sun. Guardian (Grenada) 23 Nov. 11/2: The whole of Guardian used to lime there [i.e. a brothel]. That was the liming place.