Here's whut rhymes whit style: Bile. Dial. File. Guile. Mile. Nile. Pile. (Gomer) Pyle. Rile. Tile. Vile.
neat
mishmash, mash, cash
basket
onramp
There are no perfect rhymes for the word reluctant.
sprint
milestyles
mile file style beguile
One word that rhymes with "neigh" and contains either "ei" or "ie" is "bouillie," a French term for a type of porridge.
car style
Cramping my style.
pile, style,FileLyleSmileDialMileIsle