I use the last bit of sourdough with bland, processed cheese (6,4)
I believe the answer is:
danish blue
'cheese' is the definition.
(Danish blue is an example)
'i use the last bit of sourdough with bland processed' is the wordplay.
'the last bit of' indicates one should take the final letters.
'with' is a charade indicator (letters next to each other).
'processed' indicates an anagram.
The final letter of 'sourdough' is 'h'.
'i'+'use'+'h'+'bland'='iusehbland'
'iusehbland' with letters rearranged gives 'DANISH BLUE'.
(Other definitions for danish blue that I've seen before include "served up on board?" , "possibly crackers with it" .)