Not at an AMP, but more than once when I was at dinner with a lady on a paid overnight. Fortunately I make sure I always take them somewhere appropriate to how they are dressed (typically dressed in nice business casual level), and those who know me well enough to be a problem also know I have a lot of business acquaintances who prefer to remain unnamed. A few mysterious non-introductions have always sufficed.
But it is a concern if I played near home--I do not need to run into a clergy or banker or society gossip. Those people don't know my work world, so most of them don't know they should stay away if they see me with an unknown dinner companion.