Aw, that’s sweet. :)
Here’s how you use her.
Laning Phase
Push the wave with her Threaded Volley and then look for chances to punish opponents for standing outside the cover of their minions. At level 2, take Unraveled Earth to punish them for standing too close and push the wave more. If you’ve done enough damage, look for an all-in after Level 3, when you should have Seismic Shove. Use Unraveled Earth to slow your opponent before going for the combo.
Roaming
All-in the minion wave. All-in the minion wave. All-in the minion wave. Few champs can clear as fast as you do. Once the wave hits the tower, roam to place wards, eat honey fruit, take Scuttle Crab, help your jungler with invading or Dragon or Herald, or the legendary Taliyah roams. Walk near walls to use your rock-board for the bonus movement speed.
Skirmishes
Your combo cooldown is massive. You must wait until an opponent has no escapes or is already crowd-controlled before using it. Watch their positioning and try to predict where they will run. Align yourself with that direction and use your Threaded Volley to deal inescapable damage.
Teamfighting
Taliyah’s worked ground mechanic, long combo cooldown, and lack of combat ultimate mean that scaling mages will just do more damage later, especially in confined spaces. You want to stand away from your team and look to split the enemy with your Weaver’s Wall or find a juicy pick.