The most common and most likely answer to this crossword clue is the 6 plus 7 letter word CANARY ISLANDS
I've seen this crossword clue in Financial Times
C
A
N
A
R
Y
I
S
L
A
N
D
S
More clues leading to the result CANARY ISLANDS
- Could a disheartened runaway finish up aboard international ship somewhere in the Atlantic?
- False rumours have inlays poorly fitted in Tenerife and the like
- Rascal Danny is travelling round detached areas off Africa
- Can Syrian lads rebuild an autonomous community?
- Unconventional sandals in racy holiday destination
Buddy explains!

The straight part
We know that "Tenerife and the like" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case tenerife and the like = canary islands.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.