The most common and most likely answer to this crossword clue is the 5 letter word CHANA
I've seen this crossword clue in The Times
C
H
A
N
A
More clues leading to the result CHANA
Buddy explains!

The straight part
We know that "pulse" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case pulse = chana.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.
What does CHANA mean?
CHANA noun- A dish principally made from chickpeas or chickpea paste.
- Chickpeas.