To engrave means to cut or carve a text or a design on the surface of an object. It denotes permanence. Choosing to engrave on something shows an intention to keep it there forever. We engrave things, names, faces, etc. because we do not want to forget them.
I remember fourteen years ago when we got our initials engraved on on the inner part of our wedding bands, his on mine and mine on his. Mine says "MOD to SPA" and vice versa on his. It felt pretty good because it signified for us the permanence of the union into which we were about to enter. It was symbolic of the commitment we made to each other to stay together forever.
God's chosen people found themselves in captivity once again and as usual God sent a prophet to encourage them and to assure them of deliverance. To let them know He had not forgotten them in their darkest hours, God spoke these words through the prophet Isaiah. "See, I have engraved you on the palms of my hands;..." Isaiah 49:16. This is God's word to you today.
God wants me to remind you that He has not forgotten you, however dire your circumstances. In the previous verse God compared Himself to a mother of a suckling child and said He would always remember them no matter what. Think of the number of times you look at or see your palms in a day. Everything you do requires the use of your hands, they are constantly before you. You employ your hands countless times for countless activities. God is telling you that whenever He looks at His hands He sees you since He has embedded you in the palm of His hand.
Think about it for a moment. It means you are constantly before God. And because you are constantly before Him, He sees you when you are sad, happy, in trouble, awake, asleep, etc. He knows of your sickness, your unemployment, your concerns about your children, your many issues, questions etc. The good news is He is not just sitting there staring at you in His palms but He is moving things and people around, working to bring solutions, answers and clarity to your issues.