Two different questions here:
1. Will it work? The short answer is, yes, it works quite well in some parts of the airplane. In others - near the galleys, lavs, etc. - not so much.
2. Is it legal? Not SHOULD it be legal, but IS IT legal? Most carriers will tell you you are not allowed to use a GPS device on board the aircraft once the boarding door is closed. That means for the entire flight.
The change that someone alluded to earlier wasn't for GPS devices, it was for having your phones and tablets in "Airplane Mode" from boarding door closed to 10,000ft and again on the descent from 10,000ft to landing, as opposed to having the device completely powered down during those times.
There's another question, too - Who cares what the policy or rule is? Why are the airlines interfering with my God-given/constitutional/humanitarian right to operate my personal electronics when I damn well want to??
I think my approach to this is simply: As good and conscientious pilots, we all put a lot of time into Risk Mitigation. We fly into hot/high airports early in the morning or later in the evening. We do a good landing area survey when we're flying into unfamiliar lakes and rivers in a floatplane, or get a thorough checkout from a pilot that has a lot of experience flying into that one-way strip with no go around at the end of the canyon. We think about contingencies before and during the flight so we're ready if the unthinkable happens. We let people know where we're going, file flight plans on the longer trips and carry PLB's and Spots and Survival Vests and gear. We continue flying our taildraggers until they're parked and tied down.
None of us would ever let a passenger on our planes make decisions for us that COULD have a direct impact on the safety of our flight, right? Especially if the potential consequences of that passenger's actions were unpredictable or hard to quantify. The airlines tend to be very conservative when it comes to this kind of thing. It is easier to prohibit something that is difficult to quantify from a safety or risk mitigation perspective than it is to spend millions of dollars testing every device out there in every seat of every type of airplane in the fleet under normal operating conditions. And redo those tests every time new devices come out. It just isn't going to happen.
As a 21-year airline pilot, the last thing I want to deal with is the possibility of something screwing up my navigation when I'm doing a CAT III ILS in 300 ft visibility, or the RNAV RNP GPS approach in serious terrain. The margins on those maneuvers are already thin enough for me - and nobody like surprises in their airplane when they're already "threading the needle."
I won't "experiment" with ways to possibly screw up your airplane when I'm flying as your passenger. Please don't do it when you're flying as my passenger, either!
P.S. ...and YES - I've been a victim of electronic interference in cruise flight at FL350. After a 15 degree uncommanded turn (our compasses on the EFIS nav displays slewed back and forth a couple of times), we tracked it down to one of the old brick laptops being used with a corded mouse - like having a transmitting antenna moving around in your airplane!
"If my wings should fail me Lord, please meet me with another pair" - Led Zeppelin
"It's all going in my report..." - CapnMike