Dagur the Deranged wears a specific helmet during the TV series, Dragons: Riders of Berk and Dragons: Defenders of Berk. At this point, he is Chief of the Berserker Tribe. After his down fall, he is not seen wearing a helmet at all.
Dagur's Helmet has no special purpose other than as decoration and head protection. It has no special features or hidden abilities.
Dagur, and of course his helmet, make their debut appearance in the episode, "Twinsanity".
Dagur's helmet usually doesn't move much, but in the episode "Smoke Gets in Your Eyes", a Smothering Smokebreath dragon swipes it completely off his head, along with anything else metal that he's wearing. It's the first time we see him without his helmet.
Dagur hasn't been seen wearing his helmet so far in the series, but in the episode "Something Rotten on Berserker Island", Gustav wears Dagur's helmet while training in the "Berserker Apprentice Program", which Dagur later confessed was phoney. He was last seen wearing it during the fight on Berserker Island in "King of Dragons, Part 1".
While Dagur does not wear his helmet in the game, School of Dragons, his helmet does make an appearance as a wearable accessory for players to customize their avatars with. It comes in a standard form like the version seen in the TV series, and a Gronckle iron variety.