Encourage popular tourist attraction we hear (6)
I believe the answer is:
incite
'encourage' is the definition.
(I've seen this before)
'popular tourist attraction we hear' is the wordplay.
'popular' becomes 'in' (something that's 'in' is fashionable).
'tourist attraction' becomes 'sight' (I've seen this in another clue).
'we hear' indicates a 'sounds like' (homophone) clue.
'sight' sounds like 'cite'.
'in'+'cite'='INCITE'
(Other definitions for incite that I've seen before include "Prompt" , "Urge, instigate" , "Arouse to action" , "Stir up (eg, violence)" , "Stir up (trouble)" .)