Chlorinating specifically one carbon on a symmetrical alcohol
It might be overkill for your purposes, but there is a nice reaction that coverts secondary alcohols to $\alpha$-chloroketones in a one-pot synthesis, using trichloroisocyanuric acid (for instance, they got 75% yield of 2-chlorocyclohexanone from cyclohexanol).  The paper is 'Direct conversion of alcohols to $\alpha$-chloro aldehydes and $\alpha$-chloro ketones' (Jing, Daniliuc, Studer 2014, Org. Lett. 16 (18) pp. 4932-4935).


  Direct conversion of primary and secondary alcohols into the
  corresponding α-chloro aldehydes and α-chloro ketones using
  trichloroisocyanuric acid, serving both as stoichiometric oxidant and
  α-halogenating reagent, is reported. For primary alcohols, TEMPO has
  to be added as an oxidation catalyst, and for the transformation of
  secondary alcohols (TEMPO-free protocol), MeOH as an additive is
  essential to promote chlorination of the intermediary ketones.


Trichloroisocyanuric acid has the advantages that it's inexpensive, widely available and easy to handle.