It might be helpful understanding that reformed theology, very generally, understands Christ to be ruling from Heaven, right now.
The invisible reign of Christ (He is in Heaven now) is being made visible on earth, mainly through His Body (the Church). This is a real rule, a "millennial" one in that it is "for the ages" and it is physically going on right now. It's not 1,000 years on man's (Julian?) calendar, but describes the complete period of time UNTIL Christ returns as judge.
At His second coming, all men will be raised, believers and unbelievers. This might be called a "rapture" of sorts because it is an incredible worldwide miracle of raising the dead to judgment, Christ coming in the air, etc.
So, when we use the word "rapture" as meaning a "catching away" something like that does occur at the second coming.
But, this is not to say what is often meant by the term "The rapture" by modern dispensational premillennialism. In that context, as you know from your background, it means a separate event, removing only Christians from the earth before the Lord's return with 7years (again according to man's calendar) of tribulation.
Reformed theology looks at the tribulations as over the history of His people on the earth, and not limited to 7 of man's years but from God's perfected view of history. Since God is eternal, it is hard for us as His creatures to really understand this.
I don't have all the details worked out, even in interpreting some of the apocalyptic passages. Some of the cataclysmic events represented happen either figuratively over time or in connection with the Second Coming.
Remember, "amillennialism" is a term assigned to it fairly recently in church history as a term created by modern dispensational premillenialism. Historically, what is now called amillennialism always believed in "millennium" but a realized, or present one.
Huge topic, but hope that is a helpful start.
__________________
Scott
PCA
North Carolina
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