The most common and most likely answer to this crossword clue is the 7 letter word STEEPLE
I've seen this crossword clue in The Guardian
S
T
E
E
P
L
E
More clues leading to the result STEEPLE
- Sword Penny found inside English tower
- The French will support expensive church feature
- Stone slab, incised with record of church construction
- Author of romances claiming page has English construction
- Last couple of people supporting expensive addition to church?
- Retro album cover for Travis is high point
- Tower viewed in modified telescope firm put out
- Highest place in the church
- Trustee, pleading, nurses big erection
- Expensive – the French church feature
Buddy explains!

The straight part
We know that "church construction" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case church construction = steeple.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 STEEPLE mean?
STEEPLE noun- A tall tower, often on a church, normally topped with a spire.
- A spire.
- A high headdress of the 14th century.
- To form something into the shape of a steeple.