It seems to me that Obama has consistently been to Clinton’s right:
Taxes: Clinton raised taxes across the board. Obama - keep the Bush-era tax cuts, except for those above $250,000
Gun Control: Clinton had the assault weapons ban, Obama - nothing?
Welfare: Clinton had welfare to work, a big move to the right, Obama has moved further in that direction by proposing to give more control to the states, but only if they can demonstrate better results
Healthcare: Clinton proposed a single-payer plan, Obama passed the Heritage plan
Military: One would expect Obama to be further right, since 9/11, and he has been: drone strikes in Afghanistan and Pakistan, defending indefinite detentions, an international terrorist hit list (Clinton only had a domestic hit list (kidding!))
Immigration: Clinton - nothing? Obama - built up security on the border, unprecedented levels of deportations
Gay rights: Clinton - big move to the left with Don’t Ask/Don’t Tell (compared to Do Ask/Discharge previously in place), move to the right with DOMA. Obama: further left with abolition of Ask/Tell, not sure what direction his non-defense of DOMA is, since it gives more rights to the states.
Abortion: Clinton - nothing? Obama - nothing?
Supreme Court: I would argue that Bader-Ginsburg is more reliably liberal that Sotomayor or Kagan, but I’m not sure
Banking regs: Here, Clinton favored fewer regulations, with overturning Glass-Steagel, where Obama passed Dodd-Frank.
It seems to me that, with the exception of Banking regs and the possible exception of gay rights (where Obama has trailed the general public’s big lurch towards more rights), Obama has been consistently to the right of Clinton. It further seems that if you called yourself a centrist during the Clinton years, you would be in love with Obama, whereas liberal and progressives may only grudgingly vote for Obama as the lesser of two weevils.