Programmatic Delete or Hide Log Messages

Is it possible to delete(on the Server)  or hide (on the Browser) Log messages before a certain timestamp?
I use logdy during development and want see only message from the current run of my program. The process logs to the file 'debug.json', but empty/clears it at start. 
Is it possible to transmit this clearing to logdy or should i restart logdy every time my program starts?