Clinton, to help Hillary get the jewish vote, was ready to pardon him, but Pollard would have been far more controversial then any of the other pardons, and he knew he would, in essence, possibly ruin Hillary, if Tenet resigned, and start yacking.
Influence? Its a matter of commonsense politics really. Israel produces nothing which keeps the economy humming (excepting humbug like this perhaps), Saudi produces tons of it. When oil prices rise, its the regular folks back home complaining to congress, not the Saudi's or their registered agents. Saudi has revealed its power twice - 1973 and 1979. Do we really need another 4 year recession to remind us of it? Most people think not.
In any case, I fail to see the connection that would make the Saudi's gravely interested in getting Pollard behind bars. Or does he have the explosive proof of Saudi guilt for everything ... if only he could be freed to tell it. I've heard of a lot of prisoners with explosive proofs of this or that if only you would free them. You believe that tripe?