I found, when comparing DAVE and Hugo TT, that at higher listening levels bass would sound very slightly "phat" on TT versus DAVE at the same level, playing into HD 800 S. Turning down the volume on both, the phatness disappeared from TT.
So, while TT theoretically has far more power and voltage swing than HD 800 S needs, it turns out that it's still possible to hear distortion at higher listening levels (not insane, about -22dB on DAVE, I don't know what colours that is on Mojo). Normally an amplifier's power is specified along with distortion, e.g. 0.1%. Distortion rises with increasing loudness and Chord's cheaper DACs with headphone output will be heard producing more distortion than expected at normal levels. DAVE, despite being more powerful, probably does have comparatively audible distortion with the trickiest, hardest to drive, headphones, even if it doesn't clip.
Before I did a proper comparison, I swore blind that TT is powerful enough for HD 800 S based on the specifications. Now I prefer to post occasional reminders that the power/distortion specifications are misleading. Mojo has about the same power/distortion ratings as Hugo TT.
My friend's Mojo sounds absolutely awesome driving HD 650s, for what it's worth. You have to spend thousands of dollars to get a worthwhile upgrade on that...