"Look for the silver lining" is a suggestion that has been said so often it may appear trite to some. But it actually contains a very deep wisdom, that can help us all to get through difficulties.
"Every cloud has a silver lining" means that every difficulty or setback that causes harm, also contains a potential for a beneficent outcome. By searching for any positive effects of any difficulty or confusing circumstance, we can begin to feel more inner peace in response to the situation, thus regaining our ability to solve it if we can, or accept it if we can't.
I was so distraught that the cyclone had ripped apart our house, and destroyed everything I owned, that I became morose and helpless, unable to do anything. But I noticed that the entire neighborhood were all helping each other, talking to each other cheerfully, sympathetically, showing kindnesses and support in a way they never had before, and I began to recognize that there was a silver lining even in this disaster!