– derivatives
insightful adjective,
insightfully adverb.

– phrases
at first sight when first seen; from an initial impression.
in sight

• 1 visible.

• 2 close to being achieved or realized.

in (or within) sight of

• 1 so as to see or be seen from.

• 2 within reach of; close to attaining.

in (or within) one's sights

• 1 visible, especially through the sights of one's gun.

• 2 within the scope of one's ambitions or expectations.

lose sight of

• 1 be no longer able to see.

• 2 fail to consider, be aware of, or remember.

on (or at) sight as soon as someone or something has been seen.
out of sight

• 1 not visible.

• 2 (also outasight) informal extremely good; excellent.

raise (or lower) one's sights become more (or less) ambitious; increase (or lower) one's expectations.
set one's sights on hope strongly to achieve or reach.
a sight —— informal indicating considerable extent: she is a sight cleverer than Sarah.
a sight for sore eyes informal a person or thing that one is extremely pleased or relieved to see.
a sight to behold a person or thing that is particularly impressive.

– derivatives
sighted adjective,
sighter noun,
sighting noun.