Single chap died embracing daughter as requested (2,6)
I believe the answer is:
on demand
'as requested' is the definition.
(I've seen this before)
'single chap died embracing daughter' is the wordplay.
'single' becomes 'one' (similar in meaning).
'chap' becomes 'man' (I've seen this before).
'died' becomes 'd'.
'embracing' means one lot of letters goes inside another.
'daughter' becomes 'd'.
'one'+'man'='oneman'
'oneman' going around 'd' is 'ondeman'.
'ondeman'+'d'='ON DEMAND'
(Other definitions for on demand that I've seen before include "As soon as required" , "Whenever required" , "When asked for" , "As soon as requested" .)