I love playing Jungle Diana when my mid-laner picks Yasuo, there's just so much gank-setup post-6. I'm talking J4 levels of "you will burn flash and/or die" when that happens. Additionally, I really like her E for synergy with AoE comps.
To clarify, I usually build Diana with 40% CDR (In jungle first two items are usually Magus-Stalker and Frozen Heart) in order to maximize damage via more spells over more damage on spells. With the loss of Deathfire Grasp, I look to the fact that Diana has a sizable impact in her AoE damage/utility in a teamfight that really helps your team depending on the comp.
Poke Comp: Probably the worst for Diana, but you can poke with Q, and sponge some damage with W before picking off an outlier.
Yasuo-comp: Oh boy, where do I start? Ult-E into the middle of the enemy team will win you a teamfight if you're not retardedly behind. While Yasuo immobilizes the enemies that you oh-so helpfully knocked-up you are in the middle of the fight, getting all that delicious AoE from your Q, your W, and your passive. Since you have 40% CDR your ult will be back up pretty soon, even if you didn't initiate with a Q-R into that fight. Additionally, your QR has excellent synergy with Yasuo's tornado, Malphite slow, Janna CC, and a slew of other abilities which let you also act as a chaser for cleaning up a fight.
Gank-heavy comp: 40% CDR with mobility and an aoe-slow-knockup. Just gank gank gank and get your team fed. If you build sturdy enough you have very little to fear from the enemy jungler, and you don't run the risk of trading a kill for a kill in ganks.
Peel comp: Similar to poke-comps this isn't where Diana shines particularly, but you can function as a fairly effective bodyguard for your ADC with E to pull away diving enemies, and then QRW to put yourself between them and your teammate while they shred the enemies.
AoE comp: Dive in and E? That Orianna can alternatively Ball you and get a shockwave off for similar effects that a Yasuo ult achieves, and then you're able to SHOCKWAVE AGAIN...albeit for no damage. Ziggs loves your initiate, Viktor loves to drop Chaos Storm on the grouped together enemy team, Cho loves to stack a Rupture onto your Moonfall... the list goes on and on.
I've noticed that (in my experiences) Diana has a very good survival rate against all-AD comps because she gets full use out of Frozen Heart, can build Sunfire or Randuin's after and pretty much use her bases and passive to "win by not losing" and just run down the fleeing enemies. Then you can get Nashor's (mid or top) or Wit's End (jungle, since you already have Magus+FH) to improve your DPS. There's very little a Zed, Talon, Kha, Renekton etc can do if they come back to lane with their initial items like Brutalizer and/or Hexdrinker and you have a Frozen Heart.