EDIT: I ended up using epoxy. Thank you for the help.
Epoxy or silicone, I favor epoxy. You will need to make sure everything is absolutely clean and you will probably want to take some sandpaper to them to provide a better mechanical grip.
it looks the plastic part is attached to an outer wooden section?
Could you pop that out and replace it with a new pump?
This may be one of the better options if epoxy or something else doesn't work. I think a larger hardware store would have these.
I think epoxy is the best bet, but next time you need to use super glue, try adding baking soda to the mix. It makes super glue much stronger.
Putty. Epoxy putty in a 2 part mix. Green stuff would probably work fine, so long as you wipe down the joining edges beforehand.
I used epoxy and so far it has held up!
This is the best plastic epoxy I have found. JB Weld plastic weld. There are others if you can't get it.
So take it apart. Clean it especially if there is any soap. Let it dry. After it is dry it might not hurt to do a light clean with rubbing alcohol. Then epoxy it back together, per the epoxy instructions. This type of epoxy is very noxious. Do it outside and leave the top outside for a few hours. It is also best to not touch it, use a stick.
The only thing super glue is good for is to glue your fingers together.
Other notable runner ups: Fixing LED light strips that separate from their adhesive, holding guitar nuts in place well enough for daily use but still mallet-able to remove it, and of course for gluing ones enemies eyelids shut
Home Improvement