Dull daughter to bring up (5)
I believe the answer is:
drear
'dull' is the definition.
(I've seen this before)
'daughter to bring up' is the wordplay.
'daughter' becomes 'd' (genealogical abbreviation).
'to bring up' becomes 'rear' (rearing is a kind of bringing up).
'd'+'rear'='DREAR'
(Other definitions for drear that I've seen before include "Dull, bleak, depressing" , "Grim" , "Depressingly dull" , "Dismal, dull" , "gloomy in poem" .)