Pledged to get a shelf (5)
I believe the answer is:
ledge
'a shelf' is the definition.
(I know that shelf can be written as ledge)
'pledged to get' is the wordplay.
'to get' indicates a hidden word (I've seen 'got' mean this).
'LEDGE' is hidden within 'pledged'.
(Other definitions for ledge that I've seen before include "Shelf-life projection" , "Narrow shelf, often attached to window" , "Projecting shelf, horizontal projection" , "A step" , "Narrow projection or shelf" .)