Imo there really are no efficient strategies to monetize skew movements, unless they are extreme and it's also capital intensive if that's the only thing you're trying to do.
Unless you have another related position already on that you can lean your skew view against for a cheap hedge or something you are usually going to end up carrying some kind of risk to try to make money off skew shift, and the PnL is not going to be that large vs. the margin and the variance of the other risks.
Just try to pull up a single expiry and position around a skew view. If you think 10d call skew will steepen you can short 1 ATM and buy 2 call wings. Vega neutral-ish structure will earn on the steepening. However you have some deltas to hedge now, and you are locally short gamma. Your skew shift needs to out-earn those effects.
Say some meme stock has wings at 2x ATM vol and you know it will drop eventually. Well you buy some local vol on the surface and to get vega neutral you need to be net short wing lots; subject to jump risk. The skew is there in the first place because it's not easily isolated. Pretty much it's payment for the associated risks.
The change of skew IV's as time passes is usually kind of obvious. On the index as you go into expiry and the deltas on the puts decay, the implied vols will rise. Or say an news event is approaching, same thing IV's are 100% going to go up. Well if you want to inventory that you are going to be paying theta. And where are you going to offset that cost?
Good pnl on isolating skew is always going to be a relative value position. You need to get both parts of the position right in order to earn big on skew that's not as easy.
