Two articles about daughter into running quite slowly (9)
I believe the answer is:
andantino
'quite slowly' is the definition.
(musical term)
'two articles about daughter into running' is the wordplay.
'two articles' becomes 'anan' (two examples of the part-of-speech).
'about' indicates putting letters inside.
'daughter' becomes 'd'.
'running' indicates an anagram.
'anan' going around 'd' is 'andan'.
'into' anagrammed gives 'tino'.
'andan'+'tino'='ANDANTINO'
(Other definitions for andantino that I've seen before include "Musical tempo marking" , "At a light moderate pace (music)" , "Slightly faster than walking pace (mus.)" , "Fairly slow" , "(Musically) moderately fast" .)