Police appearing after travel document trimmed? That’s sticky (6)
I believe the answer is:
viscid
'sticky' is the definition.
(synonyms)
'police appearing after travel document trimmed?' is the wordplay.
'police' becomes 'CID' (abbreviation for Criminal Investigation Department).
'appearing after' is a charade indicator (letters next to each other).
'travel document' becomes 'visa' (I've seen this in another clue).
'trimmed?' means to remove the last letter (the final letter is trimmed off).
'visa' with its final letter removed is 'vis'.
'cid' put after 'vis' is 'VISCID'.
'that's' acts as a link.
(Other definitions for viscid that I've seen before include "Sticky, gluey" , "Of liquid, thick and gluey" , "Cohesive and sticky" , "Glutinous, sticky" , "Of a consistency like treacle" .)