My choke has also done this.
I took the plunger assembly off:
Peeled back the rubber boot which exposed the plastic housing that the shaft slides through.
The shaft has indented rings that the plastic grommet grabs onto.
There's a piece of thin (and strong) wire that is wrpped around the grommet which applies pressure to the shaft, mine was snapped.
I found some thin picture frame wire and re-wrapped the grommet, tightened with pliers, cut off the excess, slid the boot back down.
I then took my kids to Burger King with the $20 I was going to spend on a new choke plunger. :laugh: