Ah, I had some translations about Texas Hold 'em :)
"Make my flush on the river":
"The river" refers to the last card that is dealt in Texas Hold 'em and it is dealt face up. Someone would say this phrase if they had 4 cards of a flush in their hand, for example, and they need one more card to make a flush and there was one card left to deal in the hand - the "river" card. They might say (after the hand is over) something like "I had 4 spades and I was hoping to make my flush on the river." It means that they hoped to get a 5th spade dealt to them on the last card so that they would have a flush. (A flush is 5 cards all of the same suit.)
"Calling time": This is a little bit more difficult to understand from what I've read, but I think it has to do with timing during the betting phase of the poker.
If you look at #4 and #7 on this page:
It looks like the players can be timed when the turns for betting are going around and if a player takes too long to decide how to bet, another player can call "time" on him. I THINK when you call time on a player, that player might have to decide immediately how to bet, or else not be allowed to play in the hand.
Here are some useful references about poker and poker terminology: