Walked at speed with daughter (5)
I believe the answer is:
paced
'walked' is the definition.
(pacing is a kind of walking)
'speed with daughter' is the wordplay.
'speed' becomes 'pace' (pace is a kind of speed).
'with' says to put letters next to each other.
'daughter' becomes 'd' (genealogical abbreviation).
'pace'+'d'='PACED'
'at' acts as a link.
(Other definitions for paced that I've seen before include "Took steps" , "Made anxious moves" , "Walked about in a preoccupied or frustrated way" , "set the tempo" , "Steadily walked" .)