Some of the richest people in Congress are the dems. You don't here their net worth or income drug through the press like the repubs. There'll be little bits here and there in passing but nothing major.
Cheney gets bashed about Halliburton and he has no say in how the company operates any more than Al Gore had when he was VP. In fact, Halliburton would be far more wary taking suggestions from Cheney because of the past relationship. Chaney does get his deferred comp and other ex-company officer benefits like any ex-officer would. That doesn't mean he has any control over what happens.
The whole relationship cause Halliburton so much pain over the relentless bashing that they spun off the government services business with their engineering services. The new company is probably doomed financially so we'll see who gets tagged for the next generation of emergency government contracts.