Salvation is His Life coming in to us, not the giving of our life to Him. But I've heard this all my adult life. If you have time, listen to Steve McVey's short clip for clarification and feel free to share your responses. There are so many lies being taught by well-meaning preachers who don't understand the concept of grace.
While I do believe "Christ giving us life" is more correct, I'm not sure I would characterize the common view as a lie per se. At least, not in the sense that folks are purposefully trying to mislead believers and screw up their theology. But I do think this is more than a matter of semantics.
The natural question is, Does some rephrasing like this actually matter?
And I think it does, so long as it actually reflects the attitude and direction of our theology and isn't just a way of semantically crossing every t.
But I know personally that consistently viewing salvation as Jesus giving life to the dead, rather than the spiritually handicapped accepting Jesus, makes a world of difference for matters more than just soteriology (belief about salvation).
Here's another one that I think matters, also:
"Making Jesus Lord of your life" vs. "Acknowledging that nobody makes Jesus Lord; he already is the Lord"
The former is about empowering Jesus to direct our reality, the latter is about submitting to Jesus and embracing the power to live in his reality.
(HT: Transforming Sermons)