Behind this root sits עֵת, time (plural עיתים, times). The newspaper is named straight from it: עִתּוֹן is the thing of the times, the daily catch of what is happening now. From that one noun the whole press family unfolds, the trade (עיתונות), the person who works it (עיתונאי) and the craft itself (עיתונאות). Four words, one idea: the writing that belongs to the moment. Every word here is verified against pealim, niqqud included.
This root has no lexicalized verb in modern Hebrew: the action "to time / set a time" is carried by other roots. What lives here is a tight family of nouns, all spun off the word for the newspaper, the daily record of the times.
Same root letters, different noun moulds (mishkalim). The mould tells you the function: who does it, the act of doing it, or the thing produced.
Strip the prefixes, suffixes and vowels. Three consonants remain, and the meaning lives there.