Peculiar way to represent tourism? Yes (10)
![Ross](/clue/static/ross-mug.min.png)
I believe the answer is:
mysterious
'peculiar' is the definition.
'way to represent tourism? yes' is the wordplay.
'way to represent' indicates an anagram.
'tourism'+'yes'='tourismyes'
'tourismyes' anagrammed gives 'MYSTERIOUS'.
(Other definitions for mysterious that I've seen before include "Cryptic - baffling" , "Beyond normal understanding" , "Secret" , "Strange" , "Spooky" .)