One dancing graduate touring Ireland in its entirety? (9)
I believe the answer is:
ballerina
'one dancing graduate' is the definition.
The answer is a person as well as being a singular noun. This is suggested by the definition.
'touring ireland in its entirety?' is the wordplay.
'touring' means one lot of letters goes inside another (touring can mean going round).
'ireland' becomes 'erin' (poetic name for Ireland).
'in its entirety?' becomes 'balla' (I can't justify this - if you can you should give a lot more credence to this answer).
'erin' inserted into 'balla' is 'BALLERINA'.
Can you help me to learn more?
(Other definitions for ballerina that I've seen before include "She dances to a rain bell" , "Pavlova?" , "lass good at splits?" , "Danseuse" , "girl from the Kirov?" .)