General phrases:
* To name something: "She named her cat Luna."
* To be named after someone: "He was named after his grandfather."
* To call someone by name: "The teacher called on John by name."
* To know someone by name: "I know all the students by name."
* To have a good name: "The company has a good name in the industry."
* To make a name for oneself: "She wants to make a name for herself in the arts."
* To be in a name: "The actor's name was on the list."
* To go by a different name: "He goes by the name of 'Jack' now."
Phrases with specific meanings:
* To name and shame: "The newspaper named and shamed the company for its unethical practices."
* To put a name to a face: "I finally put a name to the face of that person I always see at the coffee shop."
* To call someone by their true name: "He's always calling me by my nickname, I want him to call me by my true name."
* To be named in a will: "She was named in her aunt's will."
* To be named as a suspect: "The police named him as a suspect in the crime."
* To name a price: "The salesman named a price for the car."
* To name a date: "They named a date for the wedding."
* To name a winner: "The judges will name a winner at the end of the competition."
Idioms and sayings:
* To name it and claim it: "I'm going to name it and claim it - I'm going to get that promotion!"
* To be in good name: "She left the company in good name."
* To put a name to it: "I can't put a name to it, but something feels wrong."
* To be a household name: "She's become a household name after starring in that movie."
This is just a starting point, and there are many other ways to use the word "name" in phrases. The meaning of the phrase will depend on the context in which it is used.