aiglet, gelati, ligate, giblet, elegit, giglet, gimlet, gentil, tingle, piglet, regilt, legist, legits, glutei, wiglet.
Your query has returned 24 words, which include anagrams of gilet as well as other shorter words that can be made using the letters included in gilet.
The words in this list can be used in games such as Scrabble, Words with Friends, Wordscapes and other similar games.