The most common and most likely answer to this crossword clue is the 3 plus 5 letter word AIR MILES
I've seen this crossword clue in The Sunday Telegraph
A
I
R
M
I
L
E
S
More clues leading to the result AIR MILES
- Points collected on the fly
- Broadcast source of malicious lies about old rewards scheme
- I’m going to Israel cheaply
- Keeper finally goes in goal then lies around as a reward for travelling
- Reveal market leader's lies about rewards program
- Points made by travellers in Israel after diversion around motorway
Buddy explains!

The straight part
We know that "Points made by travellers" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case points made by travellers = air miles.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.