Yes, skim is playable
...and is worth 11 points.
Found in the following dictionaries
Enable (Words with friends)
SOWPODS (Collins Scrabble Words)
OTCWL2014 (NASPA Word List 2014)
TWL06 (NASPA List 2006)
"Skim" Definition
noun
Slang The profit gained by skimming.
Something that has been skimmed.
A thin layer, coating, or film.
verb-intransitive
Slang To fail to declare certain income to avoid tax payment.
To become coated with a thin layer.
To give a quick and superficial reading, scrutiny, or consideration; glance: skimmed through the newspaper.
To move or pass swiftly and lightly over or near a surface; glide.
verb-transitive
Slang To fail to declare part of (certain income, such as winnings) to avoid tax payment.
To coat or cover with or as if with a thin layer, as of scum.
To glide or pass quickly and lightly over or along (a surface). See Synonyms at brush1.
To read or glance through (a book, for example) quickly or superficially.
To remove (floating matter) from a liquid.
verb
To clear (a liquid) of scum or floating substance .
To remove (as film or scum) from the surface of a liquid.
To remove cream from by .
To remove the best or most easily obtainable contents from.
To read, study, or examine superficially and rapidly.
adjective
Having the cream removed by .
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