In my case I tamed him in less then a hour and for a single reason;
I brought backup.
Both a rogue and a shadow priest joined me.
At first, the priest tried to heal me and the rogue tried to kill him while I kited. It was a horrible idea. I couldn't hold threat worth anything due to being a BM with no pet, she splatted fast. Also fact; Degu hates healing. Like really really hates it. No matter where we were in the fight, or who he healed, or what he did before the heal, a heal of any sort instantly brought the wrath of Degu on his head. Those handful deaths were swift for them, but it gave me time to learn his dead zone.
Eventually, we settled on me kiting him for about a minute, just to establish a rhythm and opening threat (and if I died to a bad start then only I died). Then the shadow priest would come in and copy my footsteps, using dots to damage to not overstep my minor threat. Occasionally he would do his channel when he felt "safe" and only tossed in a mind spike after my distracting shot hit (don't know if it did anything, but if anything it was a cue for him to do it). The rogue kept the tigers out of the road and occasionally would come in with shuruken / throws to deal a bit more damage.
Once the debuff faded both of them charged him and committed suicide, leaving me alone for his undivided attention while I tamed. Having them really really helped, the priest alone when he went full burst could chunk off a fourth of his health before being killed, this was without him watching himself for the slow burn, I don't know how fast the tame would be if it weren't for him, but the whole thing took around 4 minutes with them.
A few tips for kiting him:
You can interrupt his cast by moving closer, and he takes a second to recast if you move back in range, during this he won't move at all. Stay on the farther end of his deadzone, as you can take a quill back, but if he hits you you can't make him stop his melee.
For once, S as a default key is useful. With the daze up (fire it at every opportunity) he will move about the speed of your backtracking, so use it to kite in neutral, only shifting to strafes when you feel you need to move now.
Tigers will kill you. Keep him as close to the cliff as possible unless you have a friend killing them (or you did it before the pull).
Snake trap is really useful (throw one out and then play dead, he will target them letting you quickly reposition yourself (lets you turn him around). You only have a couple of seconds to do it, I ran up to him then turned around and bounced back past him, then resumed fire. Ice trap and explosive I found to be more trouble then they are worth.