The most common and most likely answer to this crossword clue is the 5 plus 1 plus 4 plus 4 letter word BEING A GOOD HOST
I've seen this crossword clue in The Guardian
B
E
I
N
G
A
G
O
O
D
H
O
S
T
Buddy explains!
The straight part
We know that "Looking after visitors" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case looking after visitors = being a good host.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.