Moves unsteadily in rough eastern street (7)
I believe the answer is:
teeters
'moves unsteadily' is the definition.
(I've seen this in another clue)
'rough eastern street' is the wordplay.
'rough' indicates an anagram (a rough or broken ordering of the letters).
'eastern' becomes 'e'.
'e'+'street'='estreet'
'estreet' anagrammed gives 'TEETERS'.
'in' is the link.
(Other definitions for teeters that I've seen before include "Seesaws on the edge" , "Wobbles, wavers" .)