Aid for stripper tossing both cowl and garter finally (9)
I believe the answer is:
blowtorch
'aid for stripper' is the definition.
(I've seen this before)
'tossing both cowl and garter finally' is the wordplay.
'tossing' indicates an anagram.
'and' means one lot of letters go next to another.
'finally' suggests the final letters.
The last letter of 'garter' is 'r'.
'both'+'cowl'='bothcowl'
'bothcowl' put after 'r' is 'rbothcowl'.
'rbothcowl' with letters rearranged gives 'BLOWTORCH'.
(Other definitions for blowtorch that I've seen before include "Aid for stripper" , "Paint burner" , "Paint remover" , "Device with an intense flame for stripping paint" , "Gas burner" .)