Desert surprisingly green, very - that's not right? (5)
I believe the answer is:
negev
'desert' is the definition.
(Negev is an example)
'surprisingly green very that's not right?' is the wordplay.
'surprisingly' indicates anagramming the letters (a surprising ordering of the letters).
'very' becomes 'v' (abbreviation).
'that's not' suggests deleting specific letters (that has not).
'right?' becomes 'r' (common abbreviation).
'green'+'v'='greenv'
'greenv' with 'r' removed is 'geenv'.
'geenv' anagrammed gives 'NEGEV'.
(Other definitions for negev that I've seen before include "Israeli desert area abutting Sinai" , "Desert region in Israel" , "Wilderness" , "Semi-desert area" , "Southern Israeli desert" .)