Rush off, seeing hooligan (8)
I believe the answer is:
tearaway
'hooligan' is the definition.
(I've seen this before)
'rush off' is the wordplay.
'rush' becomes 'tear' (tear is a kind of rush).
'off' becomes 'away' (synonyms).
'tear'+'away'='TEARAWAY'
'seeing' is the link.
(Other definitions for tearaway that I've seen before include "A tough" , "Hooligan" , "Reckless and impetuous person" , "Delinquent" , "Rough" .)