Jamie Lannister, the....

[ArstenWhitebeard]

I think Jaime would absolutely stood for Tyrion if he still had his sword hand. This is evidenced by Jaime helping Tyrion escape.

The real question is, whats going to happen when they meet again? By now Jaime has to be pretty upset at Tyrion regarding Tywin's death. This quote by Tyrion could be hinting at a spicy reunion.

"At my finger. This one. Lord Tywin was sitting on a privy, so I put a crossbow bolt through his bowels to see if he really did **** gold. He didn't. A pity, I could have used some gold. I also slew my mother somewhat earlier. Oh, an my nephew Joffrey, I poisened him at his wedding feast and watched him choke to death. Di the cheesemonger leave that part out? I mean to add my brother and sister to the list before I'm done, if it please your queen" - Tyrion speaking to JonCon

Whether he is jesting or serious, I guess that is up for interpretation from the readers.

I don't think he was serious, at least not about killing Jaime. after all he claimed he killed Joffrey, which he didn't do, so I think he was just boasting.