Cane seat repair

My cane seats are coming unzipped - the strip that holds the cane in is coming out.Do I glue it back? With what?

You can get waterproof glue
at any craft store, this is what I use.

It dries crystal clear. Just put it in the slot and cut yourself a blunt edge wedge and pound the spline back in. You can also get new cane at most craft stores for about 8 dollars.

Soak the cane.
Soak the cane with some warm water and do what is mentioned above - Push the cane back into the groove with a blunt wedge. I use tightbond woodworkers glue.

I read a past response and used
Tightbond and some plastic clamps.