What is this circuit supposed to do? It looks like it is supposed to count the number of times the probes have been in and out of water since the power was turned on. It is not designed to be in contact with water for longer than the timeout of your 555 monostable (110 seconds with the values you have). If you remove the probe slowly after that, you can get "contact bounce" (a property of mechanical switches), which means the probe circuit will open and then close again briefly when you are pulling them out of the water. This triggers your monostable again, advancing the counter.
I think the whole point of the monostable is to remove contact bounce (it will be immune to it during its timeout). If you leave the probes in the water longer than that, you are defeating the purpose of the monostable.
What is your actual application? Maybe we can solve your problem if we know more.