While at Cambridge, he joined Footlights, where he first met comedy partner Hugh Dennis[4] and was vice-president from 1983 to 1985 with Nick Hancock as president.

[6] In 1988 Punt and Dennis worked with fellow former Footlights member David Baddiel and his comedy partner Rob Newman to write and perform a satirical sketch and stand-up show called The Mary Whitehouse Experience on BBC Radio 1.

In 2008 Punt wrote the script for and performed in Rockford's Rock Opera, a critically acclaimed ecological musical story created with school friend, Matthew Sweetapple, which has been published as an audiobook.

Punt played Eric Idle in the BBC adaptation Holy Flying Circus, covering the controversy surrounding the release of Monty Python's Life of Brian.

His specialist subject was Tony Hancock and his chosen supported charity was The Stillbirth and Neonatal Death Society (Sands).