We have dined in a restaurant twice now (we're in GA and restaurants are allowed to open for dine-in with restrictions and limited capacity, though some have opted not to open). Personally, I felt like I was at significantly less risk there than going to the grocery store, but I'm sure my own anxiety levels with crowds play into that some, but I wasn't ever as physically close to someone in either restaurant as I am to people regularly in grocery stores since all this started. I can't seem to get away from the crowds there. The two restaurants had some differences in how they approached all of this though, so I thought it might be useful to elaborate...
Both restaurants had half their tables/booths marked off, alternating ones in a row, where people couldn't sit and both had their servers wearing masks. Both also handed out the standard check booklet at the end and walked off with our debit card to scan at the register (no way to pay with a device without touching anything).
The first restaurant did not have the manager wearing a mask, I couldn't see the cooks to know if they were, and no employees that I saw were wearing gloves. They used the standard laminated menus and returned them to a large pile where they did not appear to be cleaned before reusing. They also made no attempts to keep people waiting for tables away from each other. They have a very small interior waiting area (basically just 2 benches about 4 feet from the hostess stand) and there were several groups packed in there. They had no problem with people waiting outside, but did nothing to encourage or enforce it.
The second restaurant had all employees (including cooks) wearing masks and gloves. The parking lot was sectioned off with signs and separate places to drive through depending on whether you were doing carry out or dine in. For either one, you drove up to the appropriate tent they had set up and someone was sitting at a table several feet away with a laptop/iPad/yeah I wasn't paying that much attention to the device. You called out how many people, gave your name and phone number and they would text when your table was ready. You waited in your car until you got the text and only then we're you allowed in the restaurant (and they had someone standing at the door asking and opening the door for you). They also had boxes taped off on the floor several feet away from each other so if there happened to be two tables texted at the same time you weren't waiting right next to each other. They didn't give out menus but had a bar code thing posted by each table that you could scan on your phone to look at a menu. No idea what they would have done for someone without a phone/data as we knew what we wanted.
Overall, we enjoyed both restaurants and personally were not all that concerned. We live in an area with a pretty small number of cases and deaths though and we are low risk so that definitely had an impact on our willingness to dine in.