Question
The fruit on my plumcot have several holes with a clear liquid oozing out.  The liquid hardens quickly, looks like clear crystalized sugar and when removed leaves a small hole in the fruit.
Thank you for your time

Answer
Hi Erik:
This clear resin-like material is plant material.  It is a plant response to a wound being made- often by an insect.  In your case, a small insect is boring into the fruit.  The "resin" is produced to try to "drown" the invader.  On fruit, this insect is often a plum curculio- a common insect.

Check out this insect in "Google", then visit your local garden center about appropriate insecticides that can be used to combat this critter.

Regards
Steve