Italian bear touring island by India (5)
I believe the answer is:
luigi
'italian' is the definition.
(I've seen this before)
'bear touring island by india' is the wordplay.
'bear' becomes 'lug' (both can mean to carry around).
'touring' is an insertion indicator (tour can mean to go around).
'island' becomes 'i' (geographical abbreviation).
'by' says to put letters next to each other.
'india' becomes 'i' (phonetic alphabet: alpha, bravo, charlie etc.).
'lug' going around 'i' is 'luig'.
'luig'+'i'='LUIGI'
(Other definitions for luigi that I've seen before include "Pirandello perhaps" , "-- Boccherini; -- Pirandello" , "- Pirandello, Italian author" .)