Wobbly, tipsy Tuesday round Nag's Head (8)
I believe the answer is:
unsteady
'wobbly' is the definition.
(I've seen this before)
'tipsy tuesday round nag's head' is the wordplay.
'tipsy' indicates an anagram.
'round' means one lot of letters goes inside another.
'head' indicates taking the first letters.
The initial letter of 'nags' is 'n'.
'tuesday' is an anagram of 'usteady'.
'usteady' placed around 'n' is 'UNSTEADY'.
(Other definitions for unsteady that I've seen before include "Insecurely positioned" , "inconstant" , "not firmly fixed" , "Shaky" , "Not firmly supported or balanced" .)