I've played this card in a couple of decks now, and while it's solid just as a recurring skill boost, it feels like the real powerhouse use is in Short Supply/Scavenging or Short Supply/Yorick decks.

Those decks often have a weird dip in power in the mid-late game, because with a little draw acceleration, you end up reshuffling your deck. This puts your weaknesses back into your card pool and cripples your recurrence. With Persistence however, you can consistently stop yourself from decking out, which lets you sit at your most powerful board state indefinitely.

This card functionally reads as "You get +1 skill value to 2 different tests" due to it being immediately available from the discard pile.

This means it will work wonderfully with anyone who cares about on-commit effects such as Minh Thi Phan (with her Analytical Mind), who already loves cards like A Glimmer of Hope. With Persistence, she essentially gets to commit it once for +2, then again for another +2! (The same can also be said for anyone using any variant of Grisly Totem).

It could also work in a Patrice Hathaway deck. She loves wildcard skills that allow her to improvise to whatever situation she finds herself in. Secondly, she loves cards that can be played from the discard pile, considering how quickly she goes through her deck.

It's a shame Winifred Habbamock can't take it, though.