Statement-A : Lenz law is a consequence of law of conservation of energy. 
Statement-B : Induced electric field is non conservative in nature.

Lenz's law is based upon the law of conservation of energy. Lenz law states that the induced current always tends to oppose the cause which produce it. So, in order to do work against opposing force we have to put extra effort. This extra work leads to periodic change in magnetic flux hence more current is induced. Thus, the extra effort is just transformed into electrical energy which is law of conservation of energy.
And induced electric field is non-conservative force.