Containing to me is pretty much playing in a low block with limited outlets, beyond set plays and stringing together 3 or 4 passes for a decent counter.
You could argue a high press is a type of containment, as you are containing your opponent in their defensive third. But the real aim of a high press is to force a mistake from your opponent nearer to their goal, and so, limiting the number of players they have to then rectify losing the ball to you. It's an offensive move by nature, due to a team commiting 3-4 players to the high press (ie further up the field), doesn't feel like containment at all.
It didn't feel or look like Bournemouth were containing us...it felt and looked like they were bearing down on us constantly and suffocating us. Flipping things to their advantage constantly. Winning possession and making good use of it.
Playing teams that do this extremely well is difficult. It's almost like you are better off NOT having the ball, and playing them at their own game.
Maybe we'll put them, Brighton, Fulham, Palace, Forest etc in a 'Smart' or 'PATW' (punching above their weight) category.