Partial solar eclipses are dangerous to look at and require solar eclipse glasses. Binoculars, telescopes and cameras need to have solar filters. However, if it’s a total solar eclipse, during the brief period of totality — when all of the Sun is blocked and it gets dark — it's perfectly safe to remove eye protection.
In fact, you must remove eye protection during totality to see the sun's corona! Nothing is sadder than seeing someone wear eclipse glasses during totality, though either side of totality is a partial solar eclipse, during which extreme care must be taken. There's no need to panic about this because it's very easy to tell when it's safe; you will know when totality is imminent, and when it gets dark it's safe to remove eclipse glasses.