Suspicious and shoddy? Not strange (3)
I believe the answer is:
shy
'suspicious' is the definition.
(thesaurus)
'shoddy? not strange' is the wordplay.
'not' is a deletion indicator.
'strange' becomes 'odd' (I've seen this before).
'shoddy' with 'odd' removed is 'SHY'.
'and' acts as a link.
(Other definitions for shy that I've seen before include "guarded" , "Timid (around people)" , "Pitch" , "'Lacking self-confidence, timid (3)'" , "Chary" .)