I would argue that the decision was choosing marriage, and therefore (ideally) a lifetime of happiness in most avenues, over choosing an act that is (relatively) limited to the bedroom. You chose love over tickling, which is a decision that a vast majority of us have undertaken. It is only in the dark recesses of our dirty minds where we feel trapped.
Whether or not you are subjected to, as my esteemed preceding poster put, "a life of wistful, unfulfilled yearning", is entirely up to you. As others have mentioned here, tickling is an activity that exists on a wide spectrum.
Will you be able to lock your wife in stocks, blindfold and gag her, and tickle her until the proverbial cows come home? I doubt it. But can you find some way of building a little bit of tickling into your life? Probably.
Talk to your wife about it. Don't babble about it, but provide her with the knowledge that you find tickling to be arousing, and that you'd like to discuss some ways of making that work. Maybe she could come to enjoy (or, at the very least, tolerate) a light tickle that keeps her shivering and giggling for a few minutes as part of the foreplay. And maybe you would be willing to offer a long sensual massage afterwards to help her relax and better put her in the mood, with (once again) light tickles mixed in for good measure.
I personally feel that there is adequate ground for compromise, so long as both parties have an open mind.