
ticken
to tick
To produce the regular, quiet sound that is typical of a clock or an alarm clock.
Die alte Standuhr im Flur tickt sehr laut.
The old grandfather clock in the hallway ticks very loudly.
to tick / work
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to tick
To produce the regular, quiet sound that is typical of a clock or an alarm clock.
Die alte Standuhr im Flur tickt sehr laut.
The old grandfather clock in the hallway ticks very loudly.

to tick
Colloquial for the way a person thinks, feels, or works.
Ich verstehe einfach nicht, wie er tickt.
I just don't understand how he ticks.

to not be right in the head
Colloquial for being crazy or behaving very unreasonably.
Der tickt doch nicht richtig, bei diesem Wetter ohne Jacke rauszugehen!
He can't be right in the head, going out without a jacket in this weather!
The meaning of 'ticken' (to tick) depends heavily on the subject. If the subject is a clock, it refers to the sound. If the subject is a person, the colloquial meaning 'to think' or 'to function' is meant.
Meine Armbanduhr tickt nicht mehr, die Batterie ist wohl leer.
My watch isn't ticking anymore; the battery is probably dead.
The use of 'ticken' (to tick) for the way a person thinks or functions is typical of colloquial speech. You often hear it in informal conversations.
Sag mal, wie tickt dein neuer Kollege eigentlich so?
Tell me, what is your new colleague actually like?
The phrase 'nicht richtig ticken' (to not be right in the head) is a fixed expression. It is always used in this form to express that someone is behaving unreasonably or seems to be crazy.
Du willst bei diesem Gewitter wandern gehen? Du tickst doch nicht richtig!
You want to go hiking in this thunderstorm? You must not be right in the head!
In the colloquial meaning, 'ticken' (to tick) is often used in subordinate clauses with the question word 'wie' (how) to question or describe the way someone thinks or acts.
Es ist schwer zu verstehen, wie diese Organisation tickt.
It is hard to understand how this organization ticks.
to think
Denken refers to specific thoughts, ideas, or opinions. Ticken is a colloquial, broader way of describing how a person generally thinks, feels, or functions internally.

Insgesamt ticke ich anders als Lea.
Overall, I operate differently from Lea.
Bei dieser Frage denke ich anders als Lea.
I think differently from Lea on this question.