My gf has a curious little cat and I've actually been wondering what we'll do about this very subject when Father gives her the green light to set up her icon corner. At my home, I have a 7 day votive candle that stays lighted day and night regardless of whether I'm there or not. At her house, because of her cat, this is not an option. I have read that aluminum foil rolled out on countertops either scares cats or creates an unpleasant feeling on their foot pads so this might be an option you could try.
Another thing I've considered is sort of a Pavlovian experiment. Take something large from your icon corner; preferably something that remains visible (I personally wouldn't use an Icon without your Priests' blessing). When your cat walks by the icon corner, hold up this large item while simultaneously using a canned air sports horn. Your cat will develop a fear for this item and, because it's on your icon corner, hopefully this will discourage him/her from jumping up on it.
Let us know what works for you.