I am most definitely NOT a deco diver, but twice I had my old USD Monitor 2 switch to deco mode on dives (Bloody Bay Wall at 110' and Maracaibo Deep at 150'). Just as an FYI that brands can be very different, mine was based a very conservative model, and would go into deco when my wife's Delphi was still well within the safe region. Anyway, I was never into deco for more than one minute, max, before notifying my buddy and starting up. In both cases, the computer switched back to normal mode well before I hit 60 feet. All I really did in response was to make my ascent from 60 feet very slowly, spent about 10 minutes at 35', continued a slow ascent, and I took an extra couple of minutes (5 instead of 3) on my safety stop. Because of the conservative algorithm on the computer, air was never a factor on either occasion. It may not have been a perfect solution, but I'm still here and unbent, so it worked.
If you are monitoring your dive as you should be, you should never accidentally get into a "true" deco situation. For me, the deeper the dive, the more often I check my gauges (the time at Bloody Bay I was doing photography and got caught up in the moment, something that has never been allowed to happen again). I am rarely even close to my NDL when I start to ascend to shallower parts of the reef. My trip to Little Cayman last month, I never got out of the green on my Versa Pro, and most morning dives were to 100', with a multilevel profile of up to 45 minutes.