Yes, CLEANER is a Scrabble word!

Letter values in Scrabble US: C 3, L 1, E 1, A 1, N 1, E 1, R 1.

Is it a valid word?

CLEANER is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

free from dirt or impurities; or having clean habits
free of restrictions or qualifications
(of sound or color) free from anything that dulls or dims
free from impurities
(of a record) having no marks of discredit or offense
ritually clean or pure
not spreading pollution or contamination; especially radioactive contamination
(of behavior or especially language) free from objectionable elements; fit for all observers
free from sepsis or infection
morally pure
(of a manuscript) having few alterations or corrections
(of a surface) not written or printed on
exhibiting or calling for sportsmanship or fair play
without difficulties or problems
thorough and without qualification
not carrying concealed weapons
free from clumsiness; precisely or deftly executed
free of drugs

Also: cleansing agent, dry cleaner, clean-living.

Not playable in Scrabble US: UNCONTAMINATING.