"continuously pushing" is correct and usable in written English.
You can use it to describe an ongoing action or effort that someone or something is engaged in. For example: "The scientist was continuously pushing the boundaries of her research."
As I bounced along, the frogs quieted momentarily, so that I seemed to be continuously pushing against a wall of sound.
The comet is also continuously pushing Rosetta away, "out-gassing" as it boils off ice as it nears the Sun, says Jansen.
His swing rhythm on the cymbal was the spinal cord of the music, and he kept it going almost continuously, pushing the band, at fixed volume for almost a whole tune.
The market is continuously pushing the limits of the network data rate and capacity; it is very difficult for the wireless communication industry to meet these demands.
Facebook is continuously pushing the envelope with new features, and there always seems to be short term backlash when they try something new.
Today, BlackBerry aims to inspire the success of our millions of customers around the world by continuously pushing the boundaries of mobile experiences.
"I continuously push myself.
Modern sedimentation tanks are equipped with mechanical scrapers that continuously push the sludge toward a collection hopper, where it is pumped out.
Trump has not articulated a clear strategy against Isis, other than to threaten a ruthless bombing campaign and continuously push his proposal to ban Muslim immigration from the US.
It gives sensors a place to continuously push data and provides Cloud services for notification and query.
In our experimental configuration, for a clockwise rotation, the slider is continuously pushed against the ortho-radial sensor.
