I was able to reach rank 10 on my Weaver and complete the second quest in my character's personal storyline Whisper in the Wood (Gridania). I really enjoy discovering more about the storyline, and as other quests in the game have not yet been implemented, these are the cutscenes we have to look forward to now. I also earned some sweet gil for it (15,000). I outlined the quest below with pictures (spoiler warning!)
The questline starts at Miounne at Carline's Canopy (Adventure Guild). She gives you a short cutscene and asks you to head over to the Carpenter's Guild to speak to A'naidjaa.