Unfortunately, not every Christian's experience matches Jesus' description. Many people relate more to an old pump which has to be pumped and pumped. Just as a trickle of water comes, they have to rest. They lose their prime. The water stops. Then they have to start all over again.
Yet, Jesus said we would never thirst again. This doesn't mean that one drink satisfies us forever. But, as we continue to avail ourselves of this water of life daily, we will be constantly refreshed. The well of His life is there, but we must partake.
The dryness in a Christian's life comes when we substitute other things for the living water that only Jesus can give. Anytime a Christian begins to thirst again, it is not a reflection on the living water that Jesus gives, but rather an indication that we have been drinking from some other source.
"Therefore with joy shall ye draw water out of the wells of salvation" (Isaiah 12:3).