Girl got up around one (5)
I believe the answer is:
rosie
'girl' is the definition.
(girl's name)
'got up around one' is the wordplay.
'got up' becomes 'rose' (I've seen this before).
'around' is an insertion indicator.
'one' becomes 'i' (Roman numeral).
'rose' enclosing 'i' is 'ROSIE'.
(Other definitions for rosie that I've seen before include "riveting woman in 40s?" , "-- Lee is slang for tea" , "Cider girl" , "cider drinker sounds red" , "Girl's name" .)