Yes I've clickered trained cats with some success but I have to admit it's not as easy as with dogs ~ you need a bit more patience & it helps to think it through first before just launching into it. I trained some of my own cats & other peoples & shown people how to do it. I found Karen Pryor's book & DVD very helpful plus I was taught how to do it by an expert. The cats that are easiest to train are those that are highly motivated by food ~ that's partly why I always think it's a good idea to hand feed small amounts of very palatable treats now & again. If your cat gets used to having tiny treats from your hand & thoroughly enjoys it, then it makes clcker training much easier.
The idea is to make an association between the "click" & a food reward so you need to "tune" your cat into the clicker first ~ I think Karen Pryor calls it "charging the clicker"!
Once they've made that association, then there's lots you can teach them ~ useful things like getting into a cat carrier, or jumping onto a grooming table & fun things like "high fives" or roll over. You can backward chain an obstacle course where you start with the last obstacle first, then add on the second to last obstacle, followed by the last obstacle etc etc.
These are some of the factors that affect the training of cats & are good to bear in mind before you start:
Tap into the skills for which cats are biologically prepared, e.g. balancing skills, climbing skills.
Consider the cats motivation; use small, highly palatable food treats in short training sessions ~ perhaps only a few minutes per session.
Minimise distractions to which the cat is highly motivated to respond such as small, fast-moving objects, sudden noises or movements.
Do not tap into predatory behaviours as this can lead to physiological arousal that is not conducive to learning and may not promote a good owner-cat relationship.
Do not use punishment or negative reinforcement as the cat will escape, avoid or may make unpleasant associations with the owner.
Set up the cat to be successful and avoid failure, frustration and non-rewarding events.
It's great fun for your cat & provides much-needed mental stimulation for indoor only cats & I would highly recommend it.
Sometimes using a target stick helps as well where you teach the cat to touch the stick, then click & treat. It can also be very useful to teach a recall as well ~ always a good idea for outdoor cats

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One thing I would stress though is don't use clicker training to arouse predatory behaviour ~ it invokes a whole different physiology that is not conducive to new learning.
Best of luck with it ~ I look forward to hearing how you get on