Revlon was founded in 1932 and began selling their innovative pigment nail polish in 1937. This may be a nail polish bottle. Epack is probably right with his 1940s age range.
Its a perfume bottle though, not a nail polish. I think its a great find! It looks like a lot of the old little avon perfume bottles and yardley's perfumes. I just sold a yardley's with a lid on ebay. It looks alot like that.