Run away, having originally stolen fish with hesitation (7)
I believe the answer is:
scarper
'run away' is the definition.
('scarper' can be a synonym of 'run away')
'originally stolen fish with hesitation' is the wordplay.
'originally' indicates taking the first letters.
'fish' becomes 'carp' (carp is a kind of fish**).
'with hesitation' becomes 'er' (I've seen this in other clues).
The first letter of 'stolen' is 's'.
's'+'carp'+'er'='SCARPER'
'having' is the link.
(Other definitions for scarper that I've seen before include "Take to one's heels, cut and run" , "Damage" , "Vamoose" , "Run away (colloq.)" , "Run away (sl.)" .)