I did a little reading on the matter and found the following:
Basil of Caesarea (d. 379). Nearly all interpreters translate the last line (ei me ho pater monos), “but only the Father.” However, due to the variegated use of ei me in Scripture, it could be translated, “if not the Father.” Thus Basil contends the text really says, “No man knows, neither the angels of God; nor yet the Son would have known unless the Father had known. . . . Mark’s sense, then, is as follows: of that day and of that hour knows no man, nor the angels of God; but even the Son would not have known if the Father had not known, for the knowledge naturally His was given by the Father.”
The parallel passage in Matthew adds the word "only" - that the Son only would know by the Father (ie. the Divinity), which might imply that Christ will not be physically present in his human nature at the moment of the end of time/days - but his presence in judgement may occur within a distinct time, which follows the the time we are presently living in. Ie. After the Sun has darkened and the Moon shall not give her light.... then shall they see the Son of Man coming. (Mark 13:24-26).
Origen (d. 254). Maintained that interpreters misunderstand Mark’s use of know. Instead of head knowledge, Jesus is referencing experiential knowledge. So Origin says, “‘To know’ is given its own special meaning here (as is customary with sacred Scripture), for only he who remains to meet its arrival will know that day and hour.”
Again, this coupled with Basil's interpretation implies that Christ will not experience the last day, but knows of it only through the divinity.
Finally, the refusal of Christ to divulge the particular day when the end will come, (so that the remaining faithful will only know that day when it comes), points to the foreknowledge of God as to who will faithfully persevere through the false prophets and the disturbance of nature, to see the Son of Man coming on the clouds. "Take heed therefore: behold, I have foretold you all things." (Mark 13:23).
Thomas Aquinas (d. 1274), said, “This text is to be interpreted in the light of the usual style of speech found in the Scriptures, in which God is said to know a thing when He imparts knowledge of that thing, as when He said to Abraham, in Genesis 22:12: ‘Now I know that you fear God.’” In that chapter, God asks Abraham to sacrifice Isaac, Abraham’s only son. Moments before the slaughter commenced, the Angel of the Lord called out to Abraham and said, “Lay not thine hand upon the lad, neither do thou any thing unto him: for now I know that thou fearest God, seeing thou hast not withheld thy son, thine only son from me” (Genesis 22:12). God already knew Abraham would obey; God’s purpose in the endurance to sacrifice his son required of Abraham, was to demonstrate that God already knew that he would be faithful.
Thus, one can understand Mark 13:32 in terms of the moral exhortation it is supposed to be: take heed because you do not know the day - and that speculation about when the last day will be of no avail in safely deferring preparation for it, for that day is only known by God. And taking heed of the warning, when that day comes, if you are prepared, you will know that Christ rightly warned you of it, for by his warning he knows you will persevere till the end.
