Wiktionary
vb. (present participle of push on English)
Wikipedia
Pushing On is a dance single from German record producer Oliver $ and Swiss record producer Jimi Jules. It contains a sample of "Pushin' On" by the Quantic Soul Orchestra. It peaked at number 15 on the UK Singles Chart. The song was credited as the second most Shazamed track in Ibiza for 2014, having been frequently dropped by DJs in festival season.
Usage examples of "pushing on".
She started pushing on him with the tip of the probe, jabbing with as much strength as she could muster.
All of us knew that whatever else was happening, we'd be pushing on west.
The discovery that I had made altered the plans of our journey, for instead of pushing on directly to Khartum I must go to this island of which Abd Isl had spoken, and do what I could to rescue the Reis Effendina from the danger threatening him.
Gosigo busy closing the groundcar, Casher pushing on the big house door.
As the turning of the key progressed he circled around the lock, holding on now only with his mouth, pushing on the key, as required, or pulling it down again with all the weight of his body.
But all he actually said to me was that he'd been wondering if we'd been pushing on the wrong end of the stick, if what we needed wasn't a new physics, but a new mathematics.