I'm assuming you're not getting errors, you're just not getting good results?
LinkedIn is really hard to crawl. It uses a lot of Javascript and infinite load, which means you can't just scrape the HTML, and they've also got a login wall. The robots.txt actually explicitly states:
# Notice: The use of robots or other automated means to access LinkedIn without
# the express permission of LinkedIn is strictly prohibited.
So I would compare the results you get searching on LinkedIn manually versus those you get from Clay. Then I would mess around in your LLM of choice to see what data is available in a crawl.
If you need data that you can't get from one of the LLMs, you'll need to look into PhantomBuster or custom-coding something. But keep in mind that you're working cross-purposes with LI and could get banned