Unorthodox spinner's run in different sport parodied (4-4,6)
I believe the answer is:
trap-door spider
'unorthodox spinner's' is the definition.
(type of spider - spiders spin webs)
'run in different sport parodied' is the wordplay.
'run' becomes 'r' (cricket abbreviation).
'in' means one lot of letters goes inside another.
'different' is an anagram indicator.
'sport'+'parodied'='sportparodied'
'sportparodied' is an anagram of 'tapdoorspider'.
'r' placed into 'tapdoorspider' is 'TRAP-DOOR SPIDER'.
(Another definition for trap-door spider that I've seen is " Creature hiding underground".)