The app icon should symbolise growth or the journey to the top.
Please can you consider the meaning / metaphor. Some great examples are:
Amazon - A to Z (for everything) and also looks like a smile.
FedEx - the delivery arrow inside the letters
Sony VAIO - symbolises journey from analogue to digital
I think the text 'push' should be separate to the icon.
Here are some words that were picked to describe the brand/service:
Friendly & Approachable, Trustworthy, Magical, Dreamy, Insightful, Intelligent, Positive
I have attached my current concept for the app icon.
I look forward to seeing your ideas and working together to create something meaningful and wonderful!