I am trying to figure out how the clan ops work. Does it have to be a whole team or will clan mates solo playing count? How do you find out the score for any ops you have signed up for? Any help would be appreciated.
You can play solo and yes you will count. It will be hard for you ranking by your self since some of the challenges and operations require more kills, confirms, captures, etc. than one person playing solo can handle.
The score for operations is like this:
Bronze: 250 xp
Silver: 500 xp
Gold : 1000 xp
Championship : 2500 xp
Daily Challenges : are at 3 levels of 100xp as you progress with a max of 300xp
Weekly challenge: is at 3 levels with a max of 1,000xp
To furhter elaborate on what mwfan55 said, you can check the progress of the operation as it is in progress by refreshing the operations page. Once the competition ends, the final results should be tallied. Note that the data only updates every 15-30 minutes and will not be an up to the minute representation.
Once the event ends, the competition should show up in your Clan Showcase (part of the Clan HQ). This shows you a quick summary of the competition and provides a link to the competition page where you can see all the actual results.