MCC is a heck of a card. I've been playing it since it came out, and I can honestly recommend it to most any Weyland deck.
Here are the basic plays, as I've used them:
1: Put it down never advance as part of a horizontal Gagarin strategy. The notion here is that eventually you'll have a Dedication Ceremony and a public agenda in hand and you can FA a 2 or 3 pointer. This fails if they are checking every remote, but you have all the usual Gagarin tricks to make that obnoxious (ambushes, paywalls, the ID ability). If they are dedicated remote checkers they might well bring themselves into scorch range.
2: Put it in Fort Weyland, your one remote. Having a MCC ticking away in your scoring remote is immense pressure on the runner. It reminds me of how it feels when the runner puts down an Incubator. If they don't go in and trash it, you will use it fast advance points. If they do trash it, they get no points.
There is a lot of other cute stuff you can do. Here are a few secondary plays I pull off from time to time.
Death by never advanced Junebug. If they check a facedown junebug and you have 3 counters on your MCC just rez it and load it up in the Jackson window, then let them access.
Dodging cutlery: Change the type of a Wendigo or Changeling after they play the event.
Dodging Clot: If they have a clot in heap, waiting to get clone chipped, you can wait until you have enough counters, then install a public agenda and score before they have a chance to get their clot out. Happens surprisingly often.
The math on this guy is usually about like this: Scoring an Oaktown Renovation from hand takes you all 3 clicks and 2 counters, as well as 2 creds. Install the Oaktown, advance twice (spending 2 creds, gaining 4, for a net gain of 2), then spend 4.
Scoring a Hollywood from hand takes 8, install and advance twice for 2, then 6 more to push over the counters.
The rez/dedication combo play to score a Hollywood from hand is 14.
I encourage every Weyland player to give this card a try. It has really helped out my Weyland decks. We can usually protect one remote, and this card is the right card to live there.