The most common and most likely answer to this crossword clue is the 8 letter word FLUSHING
I've seen this crossword clue in The Daily Telegraph
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More clues leading to the result FLUSHING
Buddy explains!

The straight part
We know that "Getting redness in the face/port" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case getting redness in the face/port = flushing.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does FLUSHING mean?
FLUSHING verb- To cause to take flight from concealment.
- To take suddenly to flight, especially from cover.
- To cleanse by flooding with generous quantities of a fluid.
- Particularly, to cleanse a toilet by introducing a large amount of water.
- To become suffused with reddish color due to embarrassment, excitement, overheating, or other systemic disturbance, to blush.
- To cause to blush.
- To cause to be full; to flood; to overflow; to overwhelm with water.
- To excite, inflame.
- (of a toilet) To be cleansed by being flooded with generous quantities of water.
- To clear (a buffer) of its contents.
- To flow and spread suddenly; to rush.
- To show red; to shine suddenly; to glow.
- To fill in (joints); to point the level; to make them flush.
- To operate a placer mine, where the continuous supply of water is insufficient, by holding back the water, and releasing it periodically in a flood.
- To fill underground spaces, especially in coal mines, with material carried by water, which, after drainage, constitutes a compact mass.
- To dispose or be disposed of by flushing down a toilet
- The act by which something is flushed.
- A heavy, coarse cloth manufactured from shoddy.
- A surface formed of floating threads.