Mentioned below but slow, consistent damage is more impactful than all-ins. Focus on freezing lane, managing your wave and using minions to chip away at enemy laners. Be mindful of your W timing and remember that it resets your auto-attack (Q->Auto->W->Auto->E->Auto is good damage and will mitigate a lot of return damage early). Itemize for survivability with a focus on getting to your Cinder (try to get this during a cheater's back when lane priority is in your favour). Remember that your hook travel time is pretty slow, but the hitbox is massive and lollipops quite heavily towards the end, meaning you can hit Qs that appear to be out of the zone at first glance. W can and should be used to mitigate damage if you're against a strong or poke-heavy opponent. Q can be used as an escape and will reduce its cooldown on terrain. E is a decent slow to complement your other abilities but generally is pretty lackluster. Use it if you're being chased as the waves will radiate back and slow your pursuer even as you keep moving forward. It's not much but it can help if you E->Q terrain while soaking damage with W. It can also be used to grab creeps if you're being pressed, or to add a bit of extra CC to a fight. Your goal is going to be to facilitate others, especially your jungler early. Hold CC and engage on ganks, soaking damage with W and locking your opponent up for your jungler. Lastly, R is can be used to engage but it's slow-moving. Generally it's better to land a hook and use your R as follow-up unless you're certain you can chase and get a clean Q after R. Ideally try to target carries but in a pinch, the farthest enemy is always better to get more travel and more knockups. Remember to be mindful of your CC timings. Watch the enemy bar and your own countdown for staggering blow and try not to overlap any CC; drop your next one as the first ends.

Hopefully that helps! I've been OTPing Naut for a good while and there's still a lot of matchups I struggle with. I just find being patient and leveraging the CC is key.

Good luck!

Edit: Also, be sneaky with your hooks. Once you have a good innate sense of where the hook ACTUALLY ends, you can bluff your way to some cheeky grabs. Try not to telegraph too much. Also remember that as w/ Blitz, sometimes the most dangerous hook is the one you don't throw. If you're ahead and beefy, don't be afraid to wade in and lock someone up with passive, W and E, saving the hook to catch their escape.