Got asked this query and found solution from my old colleague.
In one of our Entity’s Form we were using HTML Web Resource and this HTML web resource was showing values of the attributes in that form.
Now in CRM 2011, after we save the record the form reloads and so our web resource was picking up the new values saved.
However in CRM 2013, on save, as the form doesn’t reload, the values were not getting updated in the HTML Web Resource.
So the solution was to refresh the Web Resource using Jscript on the On Save event of the form.
Hope it helps.