Suspicious of, gun-shy, unsure of, or having you patience worn out. Similar to (and probably mispronounced from) weary.
"I'm leary of using cell phones, they're rumored to give you cancer."
"He was leary about seeing a movie with Peter Weller in it."
"I'm leary of eating gravy at restaurants, I've gotten lumps before"
(noun) having a drug induced state of mind where one believes themselves to be a chicken whilst plagiarising other people’s views of America.
Look at that woman! She's leary!