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If so, would they be... ShortSeers?

Since squats were dwarves in space, i doubt they did. Besides, haven't seen a single squat art depicting a psycher.

Nope, they were called Living Ancestors. And like all Squats, they were awesome.

Squats typically live for about 300 years but a small percentage live longer. If a Squat survives to see his four hundredth year his longevity is greatly increased and he can expect to survive to the age of eight hundred or more. The tiny proportion of Squats that live to such great age are treated with enormous respect and become known as Living Ancestors.
As the Living Ancestor grows older he starts to develop potent psychic powers, often of a protective or precognitive nature. Psychic powers are virtually unknown among normal Squats so they are another factor which makes Living Ancestors doubly venerated. These psychic powers come from their spiritual closeness to the dead ancestors of their Stronghold, which they tap as a source of psychic energy.
Living Ancestors are venerated as tangible members of the group of ancestor spirits which watch over the Stronghold. Their long lives have filled them with wisdom so they are their Lord's most respected and trusted advisors. On occasion a Living Ancestor accompanies a Warlord into battle to advise him on the best plans to bring victory. The Living Ancestor is accompanied by a number of younger relatives who act as his bodyguard on the battlefield.

Their powers in 2nd Ed were:
Force Dome
Mental Fortress
Hammer Of Fury
Domination

Link here: http://classic40k2.blogspot.com.tr/2013/09/warhammer-40k-dark-millennium-box-set.html