An archaic conjunction meaning "just now" or "a moment ago." The same kanji are commonly read ただいま in modern Japanese, but しこん is an older reading/usage.
只今見たところ、事態はさほど深刻ではなかった。
From what I just saw, the situation was not that serious.
古い記録には『只今申す』のような表現がある。
Old records contain expressions like '只今申す' (I say just now / I inform you now).