Dumping silly lass, do I weep finally? (8)
I believe the answer is:
disposal
'dumping' is the definition.
(thesaurus)
'silly lass do i weep finally?' is the wordplay.
'silly' indicates anagramming the letters.
'finally?' suggests the final letters (I've seen 'finally' mean this).
The last letter of 'weep' is 'p'.
'lass'+'do'+'i'+'p'='lassdoip'
'lassdoip' is an anagram of 'DISPOSAL'.
(Other definitions for disposal that I've seen before include "arrangement" , "Riddance" , "Availability for use" , "Jettisoning" , "Getting rid of something" .)