{n.} or {adj. phr.} Rather a large amount; rather much; more than a little. * /We are not finished; quite a little is left to do./ * /Cleaning the backyard needed quite a little work./ - The phrase "quite a bit" is used like an adjective only before "less", "more". * /Six inches of snow fell today, and quite a bit more is coming tonight./ - Sometimes used like an adverb. * /Harry was sick quite a little last winter./ Compare: A LITTLE, A LOT, QUITE A PEW.
See: QUITE A LITTLE.