Alright, I think I finally managed to figure out a way to use the Town Whose Name Was Stolen as an actual chain.
Fine Structure has Recurrent, a perk that lets you steal a fragment of power from a local powerful entity whenever you enter a new reality, letting me basically get a new power whenever I use the portal
Alternatively, Kamen Rider Nei-Heisei Part 6 has Journey Through The Decade, which lets you Connect with people by helping them through their journeys, gaining a Rider Card that has a copy of the powers they had at the time
I figure I can extend the time I can spend in settings by either picking up one of those put off important event perks, Finishing Touches from Fallout New Vegas or A Man Chooses from System Shock 2, or grabbing the Clock of Ages from Chronicles of Narnia and wanking it to work based on worlds instead of jumps
>Recurrent (-400 CP, Discount Power): Funny thing, how often lightning seems to show up around you. Whenever you enter a new jump or reality, you’ll undergo the Birthing process all over again, struck by a bolt from the blue. With that bolt, a fragment of energy from one of the major powers of that reality earths itself in you, granting you some fraction of their strength and abilities. No initial bout of madness, either–that unpleasant detail was exclusive to Oul’s reservoir.
>Journey Through The Decade [600 – Discount for Destroyer] – Perhaps you don’t really have a story of your own, when it comes down to it. You’re defined by being someone who travels to entirely new worlds and becomes whatever that environment changes you into. But maybe, just maybe, you don’t need a story to begin with. Because your power is the infinite lights shining in the Parallel Worlds across all of time and space. Much like a certain other Destroyer of Worlds and his thieving counterpart, you are able to ‘capture’ the powers of significant individuals across Parallel Worlds...in this particular world’s case, those of Kamen Riders. You have the power to Connect with these special individuals through helping them through their personal journeys or just an important quest they’re on, though you don’t necessarily need to be nice about it – being a rival or ‘villain’ to their story works just as well. This is largely dependent on who you’re trying to Connect with, but however or whenever it happens, it must be a significant and personal undertaking for the both of you. Upon successfully doing so, you are able to gain a copy of this individual’s powers in the form of a Rider Card. This Card is a crystallization of their abilities and powers at the time the Card was created, able to let you transform into them with the help of a Decadriver, or using an individual ability by tapping your hand on the card. Should this person have multiple forms or abilities, the Cards come in sets, but the larger the ‘set’ will be, the harder Connecting with them will be...you may find yourself being their sidekick or shadow for some time if you’re trying to get a whole deck out of one person! Wield the stories of these brave souls, Jumper.