Spinner's pride broken after first of sixes (6)
I believe the answer is:
spider
'spinner's' is the definition.
(a spider spins webs)
'pride broken after first of sixes' is the wordplay.
'broken' indicates anagramming the letters.
'after' means one lot of letters go next to another.
'first of' indicates taking the first letters.
The first letter of 'sixes' is 's'.
'pride' anagrammed gives 'pider'.
'pider' put after 's' is 'SPIDER'.
(Other definitions for spider that I've seen before include "one with money or house?" , "Prised open the arachnid" , "One has eight legs" , "website designer?" , "Harvester" .)