Site doesn't show updates to style.css

Now this is weird…

Created a site on our company’s test server. Transferred it to the client’s hosting company server. Everything is fine EXCEPT:

Whatever changes I make to style.css isn’t reflected on the website. The site sees the stylesheet just fine. The site looks like it did when it was on our test server. But WordPress ignores any changes I make to the file. I can add inline CSS to my template files and that works. It’s just style.css. It’s like the style.css file is being cached, but I’m not using any plugins that would do that. I can add an additional CSS file to the header, and that works, but I’d prefer having everything in the one CSS file.

Already checked to following:

• Made sure I’m editing the right style.css file
• Deleted all the entries in style.css to see if it would break the site. It doesn’t.

Any help would be most appreciated.