noun
A mutual admiration society - a group of people who admire each other and often exchange compliments or praise
article
A - used before a singular noun to indicate that the noun is generic or nonspecific
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The two professors were often seen engaging in discussions, forming a mutual admiration society for each other's work.
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Those two are always complimenting each other, it's like they have their own little mutual admiration society.
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They're like two peas in a pod, always gushing over each other's accomplishments in their own little admiration club.
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Their relationship is like a mutual admiration society, constantly boosting each other's egos and supporting each other's endeavors.