This card cannot be used as a Fusion Material Monster. When this card is Special Summoned by the effect of a "Gladiator Beast" monster, you can discard 1 "Gladiator Beast" card to add 1 "Gladiator Beast" monster from your Deck to your hand.
The only good usage this card has is through the effect of GB Augustus (which, giving in your deck is questionable deck space in the first place though it does have some usage so I won't criticize its usefulness)
That being said, it's rare that you will have both a GB card and Tygerius in your hand and be in dire need of a specific GB monster to be added to your hand. Keep in mind the fact that Duel Links only has 3 monster zones, meaning you can't get out any of the 3 card contact fusion bosses. Now thay Hop and Spartacus are in the game though, along with lanista, you can at least get Gaiodiaz. Regardless, you will frequently be wanting to use Murmillos effect on Tygerius a lot... which you can't really afford