Just had a similar problem with my daughters 1.2 16v punto mk2b, she was struggling with changing into 2nd gear just our of our estate on a slight incline. gradually the jumpy revving got worse.
Replaced the coil pack, HT leads and new plus (decided to do oil change and add some old to the gearbox), now a completely different car !
A mechanic who lives opposite said straight off it was the coil pack
I used a local motor factor, all parts above plus oil filter £84