Put-on and Run around

Put-on noun - A display of emotion or behavior that is insincere or intended to deceive.

Run around and put-on are semantically related In some cases you can use "Run around" instead a noun phrase "Put-on".

Run around verb - Play boisterously.

Put-on and run around are semantically related in trick topic. Sometimes you can use "Put-on" instead a noun "Run around", if it concerns topics such as cheat.