Acquaintanceship (noun)

1. A state of being acquainted with someone, often a casual or slight relationship.
2. A state of knowing someone in a limited or superficial way.

Origin:

Derived from the verb 'acquaint', meaning to become familiar with or to make someone familiar with.

Examples:

1. Their acquaintanceship was brief but memorable.
2. They had only a casual acquaintanceship.
3. The acquaintanceship between the two grew into a strong friendship.
4. She formed many acquaintanceships while working in the office.
5. His acquaintanceship with the famous actor was a source of pride.