No option, either there's a penalty for cancelling and resuming two months later, or everyone would be doing it.
From the new brochure... New Members There will be no fee for first time Members. If joining between the 1st and 14th of the month, Members will pay the remainder of that month and their direct debit will start the following month. If joining between the 15th and end of the month, Members will pay the remainder of the current month plus the next month upfront and their direct debit will start the following month. http://www.hullcitytigers.com/documents/updated-membership-brochure116-3649565116-3649565.pdf
I can't imagine that the club is acting legally if it goes through with this penalty charge. If I end an arrangement with a provider, they can't then charge me extra when I start a new arrangement a few months later, compared to someone who.never had a previous arrangement. I can't think of an example where that could happen (gym, energy supplier, mobile phone contract, netflix, transport season ticket, etc, etc).
But not for ever more, that's the point. The old terms defined an entry payment that may or may not be charged at a point in time. Not an entry payment that discriminates against past customers. It's bizarre and I can't see how it is enforceable in law. I haven't personally ended my membership. But if I had, I can't see any legal way that they can discriminate against me if I rejoin, because the old contract has now expired.