I travel round northern France topless, showing foolishness (9)
I believe the answer is:
ignorance
'foolishness' is the definition.
(thesaurus)
'i travel round northern france topless' is the wordplay.
'travel round' becomes 'ong' (I can't justify this - if you can you should give a lot more credence to this answer).
'northern' is a reversal indicator (in a down clue, letters go up or 'north').
'topless' means to remove the first letter.
'ong' written backwards gives 'gno'.
'france' with its initial letter removed is 'rance'.
'i'+'gno'+'rance'='IGNORANCE'
'showing' acts as a link.
Can you help me to learn more?
(Other definitions for ignorance that I've seen before include "Nescience" , "Lack of education" , "Stupidity" , "Groin acne (anag.)" , "bliss, they say" .)