Here is something from Chuck Missler that I found several years ago:

Methuselah comes from muth, a root that means "death" and from shalach, which means to bring, or to send forth. The name Methuselah means, "his death shall bring".

Methuselah's father was given a prophecy of the coming Great Flood, and was apparently told that as long as his son was alive, the judgment of the flood would be withheld; but as soon as he died, the flood would be brought or sent forth.

And, indeed, the year that Methuselah died, the flood came. It is interesting that Methuselah's life, in effect, was a symbol of God's mercy in forestalling the coming judgment of the flood. Therefore, it is fitting that his lifetime is the oldest in the Bible, speaking of the extensiveness of God's mercy.

The Other Names
Adam - Adam’s name means “man.” As the first Man, that seems straightforward enough.

Seth - Adam's son was named Seth, which means appointed. Eve said, "For God hath appointed me another seed instead of Abel, whom Cain slew.

Enosh - Seth's son was called Enosh, which means mortal, frail, or miserable. It is from the root anash, to be incurable, used of a wound, grief, woe, sickness, or wickedness. It was in the days of Enosh that men began to defile the name of the Living God.

Kenan - Enosh's son was named Kenan, which can mean sorrow, dirge, or elegy.

Mahalalel - Kenan's son was Mahalalel, form Mahalal, which means blessed or praise; and El, the name for God. Thus, Mahalalel means the Blessed God. Often Hebrew names include El, the name of God, as Dan-i-el, "God is my judge", etc.

Jared - Mahalalel's son was named Jared, from the verb yaradh, meaning shall come down.

Enoch - Jared's son was named Enoch, which means teaching, or commencement. He was the first of four generations of preachers. In fact, the earliest recorded prophecy was by Enoch, which amazingly enough deals with the second coming of Christ (although it is quoted in the book of Jude in the New Testament)

Methuselah - Enoch was the father of Methuselah, who we have already mentioned. Enoch walked with God after he begat Methuselah. Apparently, Enoch received the prophecy of the Great Flood, and was told that as long as his son was alive, the judgment of the flood would be withheld. The year that Methuselah died, the flood came. Enoch of course, never died: he was translated. That's how Methuselah can be the oldest man in the Bible, yet he died before his father!

Lamech - Methuselah's son was named Lamech, a root still evident today in our own English word, lament or lamentation. Lamech suggests despairing.

Noah - Lamech, of course, is the father of Noah, which is derived from nacham, to bring relief or comfort, as Lamech himself explains in Genesis 5:29.

The Composite List:
Hebrew-----------------English

Adam-------------------Man
Seth-------------------Appointed
Enosh------------------Mortal
Kenan------------------Sorrow
Mahalalel--------------The Blessed God
Jared------------------Shall come down
Enoch------------------Teaching
Methuselah-------------His death shall bring
Lamech-----------------The Despairing
Noah-------------------Rest, or comfort

That's rather remarkable:

Man (is) appointed mortal sorrow; (but) the Blessed God shall come down teaching (that) His death shall bring (the) despairing rest.

Here's the Gospel hidden within a genealogy in Genesis!