Across the Channel, I take special exotic trips, primarily with this lot (3,3)
I believe the answer is:
jet set
'this lot' is the definition.
(jet set is a kind of lot)
'across the channel i take special exotic trips primarily' is the wordplay.
'across the channel i' becomes 'je' ('I' in French ie across the English Channel).
'primarily' indicates taking the first letters.
The first letters of 'take special exotic trips' is 'tset'.
'je'+'tset'='JET SET'
'with' is the link.
(Other definitions for jet set that I've seen before include "These are loaded" , "socialites" , "Rich crowd who fly about a lot" , "High fliers" , "People who fly for pleasure" .)