this is when reminiscing is used as an avoidance defense mechanism during conversation, for either a subject or question. Ultimately the questioner or subject raiser will forget their point or lose interest leaving you safe.
Example of avoiding a question
Paul: what have you done with my rabbit?
jericho: Rabbits (sigh) remember when you were at school at it would be your turn to take the rabbit home and you'd feel all warm and excited........etc
Example of Subject avoidance
Kaiser: i love football!
bill: i remeber the time i was hit in the balls by a football ruptured both my testes couldn't piss pain free for a month.