I don't like seeing this gif going around because I feel like it really misrepresents the situation, before watching the show, I was wondering why JIgen would be trying to pull one over on Lupin?

And the longer gif is just so much more intelligible, really, I love having just that clip of Lupin II realizing that, his son's attitude aside, he's not gonna get his way here by trying to pull a power move.

In the whole of the series, this to me is the moment that Lupin and Jigen's relationship became what it is. The scene where Lupin steals Jigen's heart is great too, but it more so represents the sentiment behind their bond, as well as being their little makeup sesh after Jigen tried to leave and then considered shooting him and all that. This gif right here though, it's so powerful in a much different way. Lupin gets into all sorts of trouble and drags Jigen into saving him, but that's not what this is. Arguably, Lupin II is doing what he has to, to save his kid from Gaucho's plan, and before now, Jigen absolutely would have seen that as the smart option, dragging Lupin away because he's just some in over his head rich kid. He would have let it happen. But Lupin has Jigen's heart now, and that means defending him even when he's not in danger, because he's not protecting some silly kid anymore, he'd defending the way of life and the path he and his partner have chosen, and that's so drastically different. It's also such a good contrast to that scene on the rooftop earlier, where Shinobu stood between Lupin and Jigen, and now Jigen stands between Lupin and his father. The priorities have changed.