Woman starting a dancing school (3)
I believe the answer is:
ada
'woman' is the definition.
(woman's name)
'starting a dancing school' is the wordplay.
I cannot quite see how this works, but
'a' is within the answer.
The remaining letters 'da' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for ada that I've seen before include "Programming language" , "Computer lang.; f. name" , "Computer language; girl's name" , "-- Lovelace, pioneer in computing" , "Girl's name, one letter short of a man's name" .)