Going through Liguria, initially with bottle (4)
I believe the answer is:
vial
'bottle' is the definition.
(I know that vial is a type of bottle)
'going through liguria initially' is the wordplay.
'going through' becomes 'via' (via means through).
'initially' indicates taking the first letters.
The initial letter of 'liguria' is 'l'.
'via'+'l'='VIAL'
'with' is the link.
(Other definitions for vial that I've seen before include "Small container for liquids" , "Small glass container" , "Ampoule" , "Bottle that contains a drug" , "Not much bottle" .)