Pretty nest around river (4)
I believe the answer is:
tyne
'river' is the definition.
(I've seen this before)
'pretty nest around' is the wordplay.
'around' says the answer is hidden in the clue.
'TYNE' is hidden within 'pretty nest'.
(Other definitions for tyne that I've seen before include "Gateshead's river" , "North of England river" , "River of northeast England" , "River running through Newcastle" , "Serve as evidence for" .)