The name is taken from the perching songbird. The Skylark is quite a dull-looking bird but has a beautiful call, nimble movements and quirky crested head plumage which it can raise or lower. It would be cool to capture some of this character but it should be distinct enough from other popular bird-related brands such as Twitter.
The graphic part of the logo should be clear enough to be identifiable when shown in the notification bar at the top of a phone in monochrome - think WhatsApp, Slack, Pinterest, Twitter, YouTube, Facebook. This probably means a square-ish bounding box for the part that's not text.
I want the app to encompass helpfulness, calming and sleekness rather than create a sense of panic as the user will interact with it many times per day. It will help them stay informed, automate areas of their life and act like a front-end to a personal assistant.
Skylark is a community-focussed project with an emphasis on security and privacy. All code is opensource for others to verify the security of and to make improvements. It might be a good idea to incorporate some of these values.