Lead's placement on the activity series is just above hydrogen. This means that it will displace the H from Cl when Pb is placed into a solution of HCl. Hydrogen gas will be produced in this reaction as well as lead chloride.
Pb(s) + Cl2(g) → PbCl2(s)
A layer of lead oxide (PbO) slows the reaction of the Pb with the HCl - so this reaction will not be as rapid as what you see when Mg is placed into a solution of HCl.
The video shows an experiment to determine the placement of three different metals (Cu, Zn and Mg) on the activity series.
Video from: Noel Pauller
Hope this helps!