Wanders around with shopping (7)
I believe the answer is:
errands
'shopping' is the definition.
'wanders around with' is the wordplay.
'wanders' becomes 'errs'.
'around' means one lot of letters goes inside another.
'with' becomes 'and' (I've seen this before).
'errs' going around 'and' is 'ERRANDS'.
(Other definitions for errands that I've seen before include "Short trips to perform commissions" , "Tasks involving journeys" , "trips on someone's behalf" , "charges" , "Chores" .)