Woman that's stood up might set about Romeo (8)
I believe the answer is:
rosemary
'woman' is the definition.
'stood up might set about romeo' is the wordplay.
'stood up' becomes 'rose' (I've seen this before).
'might' becomes 'may' (I've seen this before).
'set about' indicates putting letters inside.
'romeo' becomes 'R' (phonetic alphabet: alpha, bravo, charlie etc.).
'may' going around 'r' is 'mary'.
'rose'+'mary'='ROSEMARY'
'that's' is the link.
(Other definitions for rosemary that I've seen before include "One or two girls" , "Herb - girl's name(s)" , ""That's for remembrance"" , "Culinary herb" , "Plant" .)