Suspect Graeme, short dodgy customer in jumble sale? (8)

I believe the answer is:

rummager

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'customer in jumble sale?' is the definition.
The definition suggests a singular noun which matches the answer.

'suspect graeme short dodgy' is the wordplay.
'suspect' becomes 'rum' (I've seen this in other clues).
'short' means to remove the last letter.
'dodgy' indicates anagramming the letters (a dodgy or wrong order of the letters).
'graeme' with its final letter removed is 'graem'.
'graem' anagrammed gives 'mager'.
'rum'+'mager'='RUMMAGER'

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(Other definitions for rummager that I've seen before include "Unsystematic searcher" , "One unsystematically seeking" .)

I've seen this clue in The Telegraph.

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