gaiter / gator are similar-sounding terms with different meanings (referred to as homophones). To better understand the differences, see below for definitions, pronunciation guides, and example sentences using each term. 👇
gaiter: (noun) a shoe covering the ankle with elastic gores in the sides. (noun) legging consisting of a cloth or leather covering for the leg from the knee to the ankle.
gator: NA
gaiter: g·EY·t·er
gator: g·EY·t·er
(Examples are Wikipedia snippets under the CC ShareAlike 3.0 license. Definitions drawn from WordNet.)