We dig and unearth a potty (3,8)
I believe the answer is:
the guardian
'we' is the definition.
(the crossword setter the newspaper belongs to)
'dig and unearth a potty' is the wordplay.
'and' means one lot of letters go next to another.
'potty' indicates an anagram (potty can mean mad).
'unearth'+'a'='uneartha'
'dig' after 'uneartha' is 'unearthadig'.
'unearthadig' with letters rearranged gives 'THE GUARDIAN'.
(Other definitions for the guardian that I've seen before include "Our paper?" , "Newspaper" .)