… who got arrested by constable for having spots (6)
I believe the answer is:
blobby
'having spots' is the definition.
'who got arrested by constable' is the wordplay.
I cannot really see how this works, but
'by' is within the answer.
The remaining letters 'blob' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...
'for' acts as a link.
(Other definitions for blobby that I've seen before include "with splashes of colour" , "Indistinctly round" , "Composed of viscous liquid drops" , "Indeterminate and roundish in shape" , "Spotty" .)